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Finding the Fourth Proportional to 24,423.58, 36,658.05 and 9,642.70

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Solution

The fourth proportional to 24,423.58, 36,658.05 and 9,642.70 is: 14,473.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,423.58 : 36,658.05 = 9,642.70 : x
  2. Step 2: Convert to fraction form
    24,423.58/36,658.05 = 9,642.70/x
  3. Step 3: Cross multiply
    24,423.58x = 36,658.05 × 9,642.70
  4. Step 4: Simplify right side
    24,423.58x = 353,482,578.74
  5. Step 5: Solve for x
    x = 353,482,578.74/24,423.58
  6. Step 6: Final answer
    x = 14,473.00

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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.