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Finding the Fourth Proportional to 12,252.47, 18,406.04 and 7,575.93

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Solution

The fourth proportional to 12,252.47, 18,406.04 and 7,575.93 is: 11,380.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,252.47 : 18,406.04 = 7,575.93 : x
  2. Step 2: Convert to fraction form
    12,252.47/18,406.04 = 7,575.93/x
  3. Step 3: Cross multiply
    12,252.47x = 18,406.04 × 7,575.93
  4. Step 4: Simplify right side
    12,252.47x = 139,442,832.74
  5. Step 5: Solve for x
    x = 139,442,832.74/12,252.47
  6. Step 6: Final answer
    x = 11,380.80

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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.