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Finding the Fourth Proportional to 23,726.52, 32,740.98 and 13,114.70

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Solution

The fourth proportional to 23,726.52, 32,740.98 and 13,114.70 is: 18,097.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,726.52 : 32,740.98 = 13,114.70 : x
  2. Step 2: Convert to fraction form
    23,726.52/32,740.98 = 13,114.70/x
  3. Step 3: Cross multiply
    23,726.52x = 32,740.98 × 13,114.70
  4. Step 4: Simplify right side
    23,726.52x = 429,388,130.41
  5. Step 5: Solve for x
    x = 429,388,130.41/23,726.52
  6. Step 6: Final answer
    x = 18,097.39

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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.