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Finding the Fourth Proportional to 19,374, 29,061.27 and 5,523

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Solution

The fourth proportional to 19,374, 29,061.27 and 5,523 is: 8,284.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,374 : 29,061.27 = 5,523 : x
  2. Step 2: Convert to fraction form
    19,374/29,061.27 = 5,523/x
  3. Step 3: Cross multiply
    19,374x = 29,061.27 × 5,523
  4. Step 4: Simplify right side
    19,374x = 160,505,394.21
  5. Step 5: Solve for x
    x = 160,505,394.21/19,374
  6. Step 6: Final answer
    x = 8,284.58

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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.