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Finding the Fourth Proportional to 24,573.04, 36,861.95 and 9,778.50

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Solution

The fourth proportional to 24,573.04, 36,861.95 and 9,778.50 is: 14,668.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,573.04 : 36,861.95 = 9,778.50 : x
  2. Step 2: Convert to fraction form
    24,573.04/36,861.95 = 9,778.50/x
  3. Step 3: Cross multiply
    24,573.04x = 36,861.95 × 9,778.50
  4. Step 4: Simplify right side
    24,573.04x = 360,454,344.87
  5. Step 5: Solve for x
    x = 360,454,344.87/24,573.04
  6. Step 6: Final answer
    x = 14,668.69

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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.