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Finding the Fourth Proportional to 15,131.85, 20,878.51 and 9,162.25

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Solution

The fourth proportional to 15,131.85, 20,878.51 and 9,162.25 is: 12,641.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,131.85 : 20,878.51 = 9,162.25 : x
  2. Step 2: Convert to fraction form
    15,131.85/20,878.51 = 9,162.25/x
  3. Step 3: Cross multiply
    15,131.85x = 20,878.51 × 9,162.25
  4. Step 4: Simplify right side
    15,131.85x = 191,294,070.32
  5. Step 5: Solve for x
    x = 191,294,070.32/15,131.85
  6. Step 6: Final answer
    x = 12,641.82

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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.