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Finding the Fourth Proportional to 13,458.24, 18,572.64 and 7,489.68

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Solution

The fourth proportional to 13,458.24, 18,572.64 and 7,489.68 is: 10,335.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,458.24 : 18,572.64 = 7,489.68 : x
  2. Step 2: Convert to fraction form
    13,458.24/18,572.64 = 7,489.68/x
  3. Step 3: Cross multiply
    13,458.24x = 18,572.64 × 7,489.68
  4. Step 4: Simplify right side
    13,458.24x = 139,103,130.36
  5. Step 5: Solve for x
    x = 139,103,130.36/13,458.24
  6. Step 6: Final answer
    x = 10,335.91

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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.