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Finding the Fourth Proportional to 27,547.92, 38,016.24 and 14,972.64

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Solution

The fourth proportional to 27,547.92, 38,016.24 and 14,972.64 is: 20,662.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,547.92 : 38,016.24 = 14,972.64 : x
  2. Step 2: Convert to fraction form
    27,547.92/38,016.24 = 14,972.64/x
  3. Step 3: Cross multiply
    27,547.92x = 38,016.24 × 14,972.64
  4. Step 4: Simplify right side
    27,547.92x = 569,203,475.67
  5. Step 5: Solve for x
    x = 569,203,475.67/27,547.92
  6. Step 6: Final answer
    x = 20,662.30

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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.