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Finding the Fourth Proportional to 14,319.61, 19,753.42 and 8,349.10

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Solution

The fourth proportional to 14,319.61, 19,753.42 and 8,349.10 is: 11,517.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,319.61 : 19,753.42 = 8,349.10 : x
  2. Step 2: Convert to fraction form
    14,319.61/19,753.42 = 8,349.10/x
  3. Step 3: Cross multiply
    14,319.61x = 19,753.42 × 8,349.10
  4. Step 4: Simplify right side
    14,319.61x = 164,923,278.92
  5. Step 5: Solve for x
    x = 164,923,278.92/14,319.61
  6. Step 6: Final answer
    x = 11,517.30

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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.