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Finding the Fourth Proportional to 15,114.15, 20,854.31 and 9,144.63

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Solution

The fourth proportional to 15,114.15, 20,854.31 and 9,144.63 is: 12,617.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,114.15 : 20,854.31 = 9,144.63 : x
  2. Step 2: Convert to fraction form
    15,114.15/20,854.31 = 9,144.63/x
  3. Step 3: Cross multiply
    15,114.15x = 20,854.31 × 9,144.63
  4. Step 4: Simplify right side
    15,114.15x = 190,704,903.13
  5. Step 5: Solve for x
    x = 190,704,903.13/15,114.15
  6. Step 6: Final answer
    x = 12,617.64

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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.