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Finding the Fourth Proportional to 12,505.61, 18,749.14 and 7,574.15

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Solution

The fourth proportional to 12,505.61, 18,749.14 and 7,574.15 is: 11,355.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,505.61 : 18,749.14 = 7,574.15 : x
  2. Step 2: Convert to fraction form
    12,505.61/18,749.14 = 7,574.15/x
  3. Step 3: Cross multiply
    12,505.61x = 18,749.14 × 7,574.15
  4. Step 4: Simplify right side
    12,505.61x = 142,008,798.73
  5. Step 5: Solve for x
    x = 142,008,798.73/12,505.61
  6. Step 6: Final answer
    x = 11,355.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.