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Finding the Fourth Proportional to 12,572.40, 17,349.24 and 7,536.82

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Solution

The fourth proportional to 12,572.40, 17,349.24 and 7,536.82 is: 10,400.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,572.40 : 17,349.24 = 7,536.82 : x
  2. Step 2: Convert to fraction form
    12,572.40/17,349.24 = 7,536.82/x
  3. Step 3: Cross multiply
    12,572.40x = 17,349.24 × 7,536.82
  4. Step 4: Simplify right side
    12,572.40x = 130,758,099.02
  5. Step 5: Solve for x
    x = 130,758,099.02/12,572.40
  6. Step 6: Final answer
    x = 10,400.41

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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.