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Finding the Fourth Proportional to 12,397.42, 18,579.27 and 6,842.50

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Solution

The fourth proportional to 12,397.42, 18,579.27 and 6,842.50 is: 10,254.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397.42 : 18,579.27 = 6,842.50 : x
  2. Step 2: Convert to fraction form
    12,397.42/18,579.27 = 6,842.50/x
  3. Step 3: Cross multiply
    12,397.42x = 18,579.27 × 6,842.50
  4. Step 4: Simplify right side
    12,397.42x = 127,128,654.98
  5. Step 5: Solve for x
    x = 127,128,654.98/12,397.42
  6. Step 6: Final answer
    x = 10,254.44

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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.