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Finding the Fourth Proportional to 27,705.78, 38,232.54 and 15,769.08

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Solution

The fourth proportional to 27,705.78, 38,232.54 and 15,769.08 is: 21,760.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,705.78 : 38,232.54 = 15,769.08 : x
  2. Step 2: Convert to fraction form
    27,705.78/38,232.54 = 15,769.08/x
  3. Step 3: Cross multiply
    27,705.78x = 38,232.54 × 15,769.08
  4. Step 4: Simplify right side
    27,705.78x = 602,891,981.86
  5. Step 5: Solve for x
    x = 602,891,981.86/27,705.78
  6. Step 6: Final answer
    x = 21,760.51

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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.