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Finding the Fourth Proportional to 13,456.47, 18,567.70 and 7,487.98

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Solution

The fourth proportional to 13,456.47, 18,567.70 and 7,487.98 is: 10,332.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,456.47 : 18,567.70 = 7,487.98 : x
  2. Step 2: Convert to fraction form
    13,456.47/18,567.70 = 7,487.98/x
  3. Step 3: Cross multiply
    13,456.47x = 18,567.70 × 7,487.98
  4. Step 4: Simplify right side
    13,456.47x = 139,034,566.25
  5. Step 5: Solve for x
    x = 139,034,566.25/13,456.47
  6. Step 6: Final answer
    x = 10,332.17

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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.