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Finding the Fourth Proportional to 12,452.40, 18,678.60 and 5,057.10

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Solution

The fourth proportional to 12,452.40, 18,678.60 and 5,057.10 is: 7,585.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,452.40 : 18,678.60 = 5,057.10 : x
  2. Step 2: Convert to fraction form
    12,452.40/18,678.60 = 5,057.10/x
  3. Step 3: Cross multiply
    12,452.40x = 18,678.60 × 5,057.10
  4. Step 4: Simplify right side
    12,452.40x = 94,459,548.06
  5. Step 5: Solve for x
    x = 94,459,548.06/12,452.40
  6. Step 6: Final answer
    x = 7,585.65

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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.