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Finding the Fourth Proportional to 24,657.40, 34,024.56 and 14,586.20

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Solution

The fourth proportional to 24,657.40, 34,024.56 and 14,586.20 is: 20,127.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,657.40 : 34,024.56 = 14,586.20 : x
  2. Step 2: Convert to fraction form
    24,657.40/34,024.56 = 14,586.20/x
  3. Step 3: Cross multiply
    24,657.40x = 34,024.56 × 14,586.20
  4. Step 4: Simplify right side
    24,657.40x = 496,289,037.07
  5. Step 5: Solve for x
    x = 496,289,037.07/24,657.40
  6. Step 6: Final answer
    x = 20,127.39

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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.