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Finding the Fourth Proportional to 25,269.60, 34,872.04 and 14,660

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Solution

The fourth proportional to 25,269.60, 34,872.04 and 14,660 is: 20,230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,269.60 : 34,872.04 = 14,660 : x
  2. Step 2: Convert to fraction form
    25,269.60/34,872.04 = 14,660/x
  3. Step 3: Cross multiply
    25,269.60x = 34,872.04 × 14,660
  4. Step 4: Simplify right side
    25,269.60x = 511,224,106.40
  5. Step 5: Solve for x
    x = 511,224,106.40/25,269.60
  6. Step 6: Final answer
    x = 20,230.80

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