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Finding the Fourth Proportional to 24,657.66, 34,025.13 and 14,046.66

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Solution

The fourth proportional to 24,657.66, 34,025.13 and 14,046.66 is: 19,383.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,657.66 : 34,025.13 = 14,046.66 : x
  2. Step 2: Convert to fraction form
    24,657.66/34,025.13 = 14,046.66/x
  3. Step 3: Cross multiply
    24,657.66x = 34,025.13 × 14,046.66
  4. Step 4: Simplify right side
    24,657.66x = 477,939,432.57
  5. Step 5: Solve for x
    x = 477,939,432.57/24,657.66
  6. Step 6: Final answer
    x = 19,383.00

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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.