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Finding the Fourth Proportional to 24,484, 36,728.61 and 7,838.08

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Solution

The fourth proportional to 24,484, 36,728.61 and 7,838.08 is: 11,757.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,484 : 36,728.61 = 7,838.08 : x
  2. Step 2: Convert to fraction form
    24,484/36,728.61 = 7,838.08/x
  3. Step 3: Cross multiply
    24,484x = 36,728.61 × 7,838.08
  4. Step 4: Simplify right side
    24,484x = 287,881,783.47
  5. Step 5: Solve for x
    x = 287,881,783.47/24,484
  6. Step 6: Final answer
    x = 11,757.96

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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.