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Finding the Fourth Proportional to 13,537.47, 18,680.86 and 7,487.56

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Solution

The fourth proportional to 13,537.47, 18,680.86 and 7,487.56 is: 10,332.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,537.47 : 18,680.86 = 7,487.56 : x
  2. Step 2: Convert to fraction form
    13,537.47/18,680.86 = 7,487.56/x
  3. Step 3: Cross multiply
    13,537.47x = 18,680.86 × 7,487.56
  4. Step 4: Simplify right side
    13,537.47x = 139,874,011.34
  5. Step 5: Solve for x
    x = 139,874,011.34/13,537.47
  6. Step 6: Final answer
    x = 10,332.36

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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.