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Finding the Fourth Proportional to 27,713.76, 38,244.42 and 15,614.16

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Solution

The fourth proportional to 27,713.76, 38,244.42 and 15,614.16 is: 21,547.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,713.76 : 38,244.42 = 15,614.16 : x
  2. Step 2: Convert to fraction form
    27,713.76/38,244.42 = 15,614.16/x
  3. Step 3: Cross multiply
    27,713.76x = 38,244.42 × 15,614.16
  4. Step 4: Simplify right side
    27,713.76x = 597,154,492.99
  5. Step 5: Solve for x
    x = 597,154,492.99/27,713.76
  6. Step 6: Final answer
    x = 21,547.22

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