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Finding the Fourth Proportional to 12,572.40, 18,842.40 and 5,984.40

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Solution

The fourth proportional to 12,572.40, 18,842.40 and 5,984.40 is: 8,968.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,572.40 : 18,842.40 = 5,984.40 : x
  2. Step 2: Convert to fraction form
    12,572.40/18,842.40 = 5,984.40/x
  3. Step 3: Cross multiply
    12,572.40x = 18,842.40 × 5,984.40
  4. Step 4: Simplify right side
    12,572.40x = 112,760,458.56
  5. Step 5: Solve for x
    x = 112,760,458.56/12,572.40
  6. Step 6: Final answer
    x = 8,968.89

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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.