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Finding the Fourth Proportional to 23,007.65, 31,712.31 and 16,284.65

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Solution

The fourth proportional to 23,007.65, 31,712.31 and 16,284.65 is: 22,445.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,007.65 : 31,712.31 = 16,284.65 : x
  2. Step 2: Convert to fraction form
    23,007.65/31,712.31 = 16,284.65/x
  3. Step 3: Cross multiply
    23,007.65x = 31,712.31 × 16,284.65
  4. Step 4: Simplify right side
    23,007.65x = 516,423,710.48
  5. Step 5: Solve for x
    x = 516,423,710.48/23,007.65
  6. Step 6: Final answer
    x = 22,445.74

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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.