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Finding the Fourth Proportional to 27,547.80, 38,016.24 and 14,972.54

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Solution

The fourth proportional to 27,547.80, 38,016.24 and 14,972.54 is: 20,662.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,547.80 : 38,016.24 = 14,972.54 : x
  2. Step 2: Convert to fraction form
    27,547.80/38,016.24 = 14,972.54/x
  3. Step 3: Cross multiply
    27,547.80x = 38,016.24 × 14,972.54
  4. Step 4: Simplify right side
    27,547.80x = 569,199,674.05
  5. Step 5: Solve for x
    x = 569,199,674.05/27,547.80
  6. Step 6: Final answer
    x = 20,662.26

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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.