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Finding the Fourth Proportional to 24,911.52, 37,311.36 and 19,348

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Solution

The fourth proportional to 24,911.52, 37,311.36 and 19,348 is: 28,978.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,911.52 : 37,311.36 = 19,348 : x
  2. Step 2: Convert to fraction form
    24,911.52/37,311.36 = 19,348/x
  3. Step 3: Cross multiply
    24,911.52x = 37,311.36 × 19,348
  4. Step 4: Simplify right side
    24,911.52x = 721,900,193.28
  5. Step 5: Solve for x
    x = 721,900,193.28/24,911.52
  6. Step 6: Final answer
    x = 28,978.57

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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.