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Finding the Fourth Proportional to 13,134.22, 18,125 and 7,165.74

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Solution

The fourth proportional to 13,134.22, 18,125 and 7,165.74 is: 9,888.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,134.22 : 18,125 = 7,165.74 : x
  2. Step 2: Convert to fraction form
    13,134.22/18,125 = 7,165.74/x
  3. Step 3: Cross multiply
    13,134.22x = 18,125 × 7,165.74
  4. Step 4: Simplify right side
    13,134.22x = 129,879,037.50
  5. Step 5: Solve for x
    x = 129,879,037.50/13,134.22
  6. Step 6: Final answer
    x = 9,888.60

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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.