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Finding the Fourth Proportional to 24,065.40, 36,098.10 and 7,423.95

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Solution

The fourth proportional to 24,065.40, 36,098.10 and 7,423.95 is: 11,135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,065.40 : 36,098.10 = 7,423.95 : x
  2. Step 2: Convert to fraction form
    24,065.40/36,098.10 = 7,423.95/x
  3. Step 3: Cross multiply
    24,065.40x = 36,098.10 × 7,423.95
  4. Step 4: Simplify right side
    24,065.40x = 267,990,489.50
  5. Step 5: Solve for x
    x = 267,990,489.50/24,065.40
  6. Step 6: Final answer
    x = 11,135.93

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Why These Related Problems?

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