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Finding the Fourth Proportional to 24,911.52, 34,374 and 14,299.68

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Solution

The fourth proportional to 24,911.52, 34,374 and 14,299.68 is: 19,731.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,911.52 : 34,374 = 14,299.68 : x
  2. Step 2: Convert to fraction form
    24,911.52/34,374 = 14,299.68/x
  3. Step 3: Cross multiply
    24,911.52x = 34,374 × 14,299.68
  4. Step 4: Simplify right side
    24,911.52x = 491,537,200.32
  5. Step 5: Solve for x
    x = 491,537,200.32/24,911.52
  6. Step 6: Final answer
    x = 19,731.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.