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Finding the Fourth Proportional to 27,807.62, 38,365.32 and 15,706.42

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Solution

The fourth proportional to 27,807.62, 38,365.32 and 15,706.42 is: 21,669.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,807.62 : 38,365.32 = 15,706.42 : x
  2. Step 2: Convert to fraction form
    27,807.62/38,365.32 = 15,706.42/x
  3. Step 3: Cross multiply
    27,807.62x = 38,365.32 × 15,706.42
  4. Step 4: Simplify right side
    27,807.62x = 602,581,777.27
  5. Step 5: Solve for x
    x = 602,581,777.27/27,807.62
  6. Step 6: Final answer
    x = 21,669.66

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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.