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Finding the Fourth Proportional to 25,728.54, 35,506.32 and 14,397.96

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Solution

The fourth proportional to 25,728.54, 35,506.32 and 14,397.96 is: 19,869.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,728.54 : 35,506.32 = 14,397.96 : x
  2. Step 2: Convert to fraction form
    25,728.54/35,506.32 = 14,397.96/x
  3. Step 3: Cross multiply
    25,728.54x = 35,506.32 × 14,397.96
  4. Step 4: Simplify right side
    25,728.54x = 511,218,575.11
  5. Step 5: Solve for x
    x = 511,218,575.11/25,728.54
  6. Step 6: Final answer
    x = 19,869.71

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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.