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Finding the Fourth Proportional to 24,384.57, 36,576.86 and 9,600.45

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Solution

The fourth proportional to 24,384.57, 36,576.86 and 9,600.45 is: 14,400.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384.57 : 36,576.86 = 9,600.45 : x
  2. Step 2: Convert to fraction form
    24,384.57/36,576.86 = 9,600.45/x
  3. Step 3: Cross multiply
    24,384.57x = 36,576.86 × 9,600.45
  4. Step 4: Simplify right side
    24,384.57x = 351,154,267.58
  5. Step 5: Solve for x
    x = 351,154,267.58/24,384.57
  6. Step 6: Final answer
    x = 14,400.68

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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.