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Finding the Fourth Proportional to 27,957.44, 38,581.08 and 15,382.16

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Solution

The fourth proportional to 27,957.44, 38,581.08 and 15,382.16 is: 21,227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,957.44 : 38,581.08 = 15,382.16 : x
  2. Step 2: Convert to fraction form
    27,957.44/38,581.08 = 15,382.16/x
  3. Step 3: Cross multiply
    27,957.44x = 38,581.08 × 15,382.16
  4. Step 4: Simplify right side
    27,957.44x = 593,460,345.53
  5. Step 5: Solve for x
    x = 593,460,345.53/27,957.44
  6. Step 6: Final answer
    x = 21,227.28

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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.