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Finding the Fourth Proportional to 24,657.10, 34,027.16 and 14,046.50

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Solution

The fourth proportional to 24,657.10, 34,027.16 and 14,046.50 is: 19,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,657.10 : 34,027.16 = 14,046.50 : x
  2. Step 2: Convert to fraction form
    24,657.10/34,027.16 = 14,046.50/x
  3. Step 3: Cross multiply
    24,657.10x = 34,027.16 × 14,046.50
  4. Step 4: Simplify right side
    24,657.10x = 477,962,499.55
  5. Step 5: Solve for x
    x = 477,962,499.55/24,657.10
  6. Step 6: Final answer
    x = 19,384.38

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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.