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Finding the Fourth Proportional to 22,854.78, 31,538.61 and 14,365.62

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Solution

The fourth proportional to 22,854.78, 31,538.61 and 14,365.62 is: 19,823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,854.78 : 31,538.61 = 14,365.62 : x
  2. Step 2: Convert to fraction form
    22,854.78/31,538.61 = 14,365.62/x
  3. Step 3: Cross multiply
    22,854.78x = 31,538.61 × 14,365.62
  4. Step 4: Simplify right side
    22,854.78x = 453,071,686.59
  5. Step 5: Solve for x
    x = 453,071,686.59/22,854.78
  6. Step 6: Final answer
    x = 19,823.94

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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.