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Finding the Fourth Proportional to 13,700.40, 18,878.66 and 9,452.76

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Solution

The fourth proportional to 13,700.40, 18,878.66 and 9,452.76 is: 13,025.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,700.40 : 18,878.66 = 9,452.76 : x
  2. Step 2: Convert to fraction form
    13,700.40/18,878.66 = 9,452.76/x
  3. Step 3: Cross multiply
    13,700.40x = 18,878.66 × 9,452.76
  4. Step 4: Simplify right side
    13,700.40x = 178,455,442.10
  5. Step 5: Solve for x
    x = 178,455,442.10/13,700.40
  6. Step 6: Final answer
    x = 13,025.56

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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.