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Finding the Fourth Proportional to 13,488.37, 18,614.05 and 7,520.42

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Solution

The fourth proportional to 13,488.37, 18,614.05 and 7,520.42 is: 10,378.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,488.37 : 18,614.05 = 7,520.42 : x
  2. Step 2: Convert to fraction form
    13,488.37/18,614.05 = 7,520.42/x
  3. Step 3: Cross multiply
    13,488.37x = 18,614.05 × 7,520.42
  4. Step 4: Simplify right side
    13,488.37x = 139,985,501.64
  5. Step 5: Solve for x
    x = 139,985,501.64/13,488.37
  6. Step 6: Final answer
    x = 10,378.24

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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.