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Finding the Fourth Proportional to 23,712.71, 32,718.80 and 14,281.88

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Solution

The fourth proportional to 23,712.71, 32,718.80 and 14,281.88 is: 19,706.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,712.71 : 32,718.80 = 14,281.88 : x
  2. Step 2: Convert to fraction form
    23,712.71/32,718.80 = 14,281.88/x
  3. Step 3: Cross multiply
    23,712.71x = 32,718.80 × 14,281.88
  4. Step 4: Simplify right side
    23,712.71x = 467,285,847.45
  5. Step 5: Solve for x
    x = 467,285,847.45/23,712.71
  6. Step 6: Final answer
    x = 19,706.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.