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Finding the Fourth Proportional to 24,193.15, 36,282.81 and 9,398.90

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Solution

The fourth proportional to 24,193.15, 36,282.81 and 9,398.90 is: 14,095.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,193.15 : 36,282.81 = 9,398.90 : x
  2. Step 2: Convert to fraction form
    24,193.15/36,282.81 = 9,398.90/x
  3. Step 3: Cross multiply
    24,193.15x = 36,282.81 × 9,398.90
  4. Step 4: Simplify right side
    24,193.15x = 341,018,502.91
  5. Step 5: Solve for x
    x = 341,018,502.91/24,193.15
  6. Step 6: Final answer
    x = 14,095.66

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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.