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Finding the Fourth Proportional to 23,159.71, 31,960.99 and 14,212.15

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Solution

The fourth proportional to 23,159.71, 31,960.99 and 14,212.15 is: 19,613.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,159.71 : 31,960.99 = 14,212.15 : x
  2. Step 2: Convert to fraction form
    23,159.71/31,960.99 = 14,212.15/x
  3. Step 3: Cross multiply
    23,159.71x = 31,960.99 × 14,212.15
  4. Step 4: Simplify right side
    23,159.71x = 454,234,384.03
  5. Step 5: Solve for x
    x = 454,234,384.03/23,159.71
  6. Step 6: Final answer
    x = 19,613.13

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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.