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Finding the Fourth Proportional to 13,488.84, 18,614.88 and 7,520.76

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Solution

The fourth proportional to 13,488.84, 18,614.88 and 7,520.76 is: 10,378.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,488.84 : 18,614.88 = 7,520.76 : x
  2. Step 2: Convert to fraction form
    13,488.84/18,614.88 = 7,520.76/x
  3. Step 3: Cross multiply
    13,488.84x = 18,614.88 × 7,520.76
  4. Step 4: Simplify right side
    13,488.84x = 139,998,044.91
  5. Step 5: Solve for x
    x = 139,998,044.91/13,488.84
  6. Step 6: Final answer
    x = 10,378.81

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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.