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Finding the Fourth Proportional to 14,761.14, 22,132.53 and 4,897.86

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Solution

The fourth proportional to 14,761.14, 22,132.53 and 4,897.86 is: 7,343.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,761.14 : 22,132.53 = 4,897.86 : x
  2. Step 2: Convert to fraction form
    14,761.14/22,132.53 = 4,897.86/x
  3. Step 3: Cross multiply
    14,761.14x = 22,132.53 × 4,897.86
  4. Step 4: Simplify right side
    14,761.14x = 108,402,033.39
  5. Step 5: Solve for x
    x = 108,402,033.39/14,761.14
  6. Step 6: Final answer
    x = 7,343.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.