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Finding the Fourth Proportional to 24,101.14, 36,155.24 and 7,462.66

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Solution

The fourth proportional to 24,101.14, 36,155.24 and 7,462.66 is: 11,195.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,101.14 : 36,155.24 = 7,462.66 : x
  2. Step 2: Convert to fraction form
    24,101.14/36,155.24 = 7,462.66/x
  3. Step 3: Cross multiply
    24,101.14x = 36,155.24 × 7,462.66
  4. Step 4: Simplify right side
    24,101.14x = 269,814,263.34
  5. Step 5: Solve for x
    x = 269,814,263.34/24,101.14
  6. Step 6: Final answer
    x = 11,195.08

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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.