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Finding the Fourth Proportional to 27,407.80, 37,813.53 and 17,843.32

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Solution

The fourth proportional to 27,407.80, 37,813.53 and 17,843.32 is: 24,617.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,407.80 : 37,813.53 = 17,843.32 : x
  2. Step 2: Convert to fraction form
    27,407.80/37,813.53 = 17,843.32/x
  3. Step 3: Cross multiply
    27,407.80x = 37,813.53 × 17,843.32
  4. Step 4: Simplify right side
    27,407.80x = 674,718,916.12
  5. Step 5: Solve for x
    x = 674,718,916.12/27,407.80
  6. Step 6: Final answer
    x = 24,617.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.