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Finding the Fourth Proportional to 24,390.53, 33,658.76 and 13,780.14

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Solution

The fourth proportional to 24,390.53, 33,658.76 and 13,780.14 is: 19,016.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,390.53 : 33,658.76 = 13,780.14 : x
  2. Step 2: Convert to fraction form
    24,390.53/33,658.76 = 13,780.14/x
  3. Step 3: Cross multiply
    24,390.53x = 33,658.76 × 13,780.14
  4. Step 4: Simplify right side
    24,390.53x = 463,822,356.13
  5. Step 5: Solve for x
    x = 463,822,356.13/24,390.53
  6. Step 6: Final answer
    x = 19,016.50

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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.