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Finding the Fourth Proportional to 13,437.69, 18,536.97 and 9,129.24

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Solution

The fourth proportional to 13,437.69, 18,536.97 and 9,129.24 is: 12,593.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,437.69 : 18,536.97 = 9,129.24 : x
  2. Step 2: Convert to fraction form
    13,437.69/18,536.97 = 9,129.24/x
  3. Step 3: Cross multiply
    13,437.69x = 18,536.97 × 9,129.24
  4. Step 4: Simplify right side
    13,437.69x = 169,228,448.00
  5. Step 5: Solve for x
    x = 169,228,448.00/13,437.69
  6. Step 6: Final answer
    x = 12,593.57

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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.