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Finding the Fourth Proportional to 25,842.74, 35,653.65 and 14,658.26

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Solution

The fourth proportional to 25,842.74, 35,653.65 and 14,658.26 is: 20,223.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,842.74 : 35,653.65 = 14,658.26 : x
  2. Step 2: Convert to fraction form
    25,842.74/35,653.65 = 14,658.26/x
  3. Step 3: Cross multiply
    25,842.74x = 35,653.65 × 14,658.26
  4. Step 4: Simplify right side
    25,842.74x = 522,620,471.65
  5. Step 5: Solve for x
    x = 522,620,471.65/25,842.74
  6. Step 6: Final answer
    x = 20,223.11

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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.