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Finding the Fourth Proportional to 23,384.49, 35,076.69 and 5,854.29

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Solution

The fourth proportional to 23,384.49, 35,076.69 and 5,854.29 is: 8,781.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,384.49 : 35,076.69 = 5,854.29 : x
  2. Step 2: Convert to fraction form
    23,384.49/35,076.69 = 5,854.29/x
  3. Step 3: Cross multiply
    23,384.49x = 35,076.69 × 5,854.29
  4. Step 4: Simplify right side
    23,384.49x = 205,349,115.50
  5. Step 5: Solve for x
    x = 205,349,115.50/23,384.49
  6. Step 6: Final answer
    x = 8,781.42

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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.