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Finding the Fourth Proportional to 13,098.61, 18,074.71 and 7,431.56

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Solution

The fourth proportional to 13,098.61, 18,074.71 and 7,431.56 is: 10,254.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,098.61 : 18,074.71 = 7,431.56 : x
  2. Step 2: Convert to fraction form
    13,098.61/18,074.71 = 7,431.56/x
  3. Step 3: Cross multiply
    13,098.61x = 18,074.71 × 7,431.56
  4. Step 4: Simplify right side
    13,098.61x = 134,323,291.85
  5. Step 5: Solve for x
    x = 134,323,291.85/13,098.61
  6. Step 6: Final answer
    x = 10,254.77

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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.