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Finding the Fourth Proportional to 24,351.78, 36,513.78 and 7,716

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Solution

The fourth proportional to 24,351.78, 36,513.78 and 7,716 is: 11,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,351.78 : 36,513.78 = 7,716 : x
  2. Step 2: Convert to fraction form
    24,351.78/36,513.78 = 7,716/x
  3. Step 3: Cross multiply
    24,351.78x = 36,513.78 × 7,716
  4. Step 4: Simplify right side
    24,351.78x = 281,740,326.48
  5. Step 5: Solve for x
    x = 281,740,326.48/24,351.78
  6. Step 6: Final answer
    x = 11,569.60

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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.