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Finding the Fourth Proportional to 25,477.26, 38,217.93 and 9,689.85

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Solution

The fourth proportional to 25,477.26, 38,217.93 and 9,689.85 is: 14,535.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,477.26 : 38,217.93 = 9,689.85 : x
  2. Step 2: Convert to fraction form
    25,477.26/38,217.93 = 9,689.85/x
  3. Step 3: Cross multiply
    25,477.26x = 38,217.93 × 9,689.85
  4. Step 4: Simplify right side
    25,477.26x = 370,326,009.01
  5. Step 5: Solve for x
    x = 370,326,009.01/25,477.26
  6. Step 6: Final answer
    x = 14,535.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.