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Finding the Fourth Proportional to 13,488.69, 18,614.42 and 7,520.74

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Solution

The fourth proportional to 13,488.69, 18,614.42 and 7,520.74 is: 10,378.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,488.69 : 18,614.42 = 7,520.74 : x
  2. Step 2: Convert to fraction form
    13,488.69/18,614.42 = 7,520.74/x
  3. Step 3: Cross multiply
    13,488.69x = 18,614.42 × 7,520.74
  4. Step 4: Simplify right side
    13,488.69x = 139,994,226.94
  5. Step 5: Solve for x
    x = 139,994,226.94/13,488.69
  6. Step 6: Final answer
    x = 10,378.64

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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.