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Finding the Fourth Proportional to 24,384.48, 36,569.16 and 8,800.08

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Solution

The fourth proportional to 24,384.48, 36,569.16 and 8,800.08 is: 13,197.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,384.48 : 36,569.16 = 8,800.08 : x
  2. Step 2: Convert to fraction form
    24,384.48/36,569.16 = 8,800.08/x
  3. Step 3: Cross multiply
    24,384.48x = 36,569.16 × 8,800.08
  4. Step 4: Simplify right side
    24,384.48x = 321,811,533.53
  5. Step 5: Solve for x
    x = 321,811,533.53/24,384.48
  6. Step 6: Final answer
    x = 13,197.39

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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.