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Finding the Fourth Proportional to 25,658.64, 35,409.78 and 14,902.65

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Solution

The fourth proportional to 25,658.64, 35,409.78 and 14,902.65 is: 20,566.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,658.64 : 35,409.78 = 14,902.65 : x
  2. Step 2: Convert to fraction form
    25,658.64/35,409.78 = 14,902.65/x
  3. Step 3: Cross multiply
    25,658.64x = 35,409.78 × 14,902.65
  4. Step 4: Simplify right side
    25,658.64x = 527,699,557.92
  5. Step 5: Solve for x
    x = 527,699,557.92/25,658.64
  6. Step 6: Final answer
    x = 20,566.15

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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.