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Finding the Fourth Proportional to 23,808, 32,809.74 and 17,436.54

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Solution

The fourth proportional to 23,808, 32,809.74 and 17,436.54 is: 24,029.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,808 : 32,809.74 = 17,436.54 : x
  2. Step 2: Convert to fraction form
    23,808/32,809.74 = 17,436.54/x
  3. Step 3: Cross multiply
    23,808x = 32,809.74 × 17,436.54
  4. Step 4: Simplify right side
    23,808x = 572,088,343.90
  5. Step 5: Solve for x
    x = 572,088,343.90/23,808
  6. Step 6: Final answer
    x = 24,029.25

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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.