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Finding the Fourth Proportional to 27,547.76, 38,016.12 and 14,972.48

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Solution

The fourth proportional to 27,547.76, 38,016.12 and 14,972.48 is: 20,662.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,547.76 : 38,016.12 = 14,972.48 : x
  2. Step 2: Convert to fraction form
    27,547.76/38,016.12 = 14,972.48/x
  3. Step 3: Cross multiply
    27,547.76x = 38,016.12 × 14,972.48
  4. Step 4: Simplify right side
    27,547.76x = 569,195,596.38
  5. Step 5: Solve for x
    x = 569,195,596.38/27,547.76
  6. Step 6: Final answer
    x = 20,662.14

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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.