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Finding the Fourth Proportional to 13,129.10, 19,693.65 and 8,204.30

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Solution

The fourth proportional to 13,129.10, 19,693.65 and 8,204.30 is: 12,306.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,129.10 : 19,693.65 = 8,204.30 : x
  2. Step 2: Convert to fraction form
    13,129.10/19,693.65 = 8,204.30/x
  3. Step 3: Cross multiply
    13,129.10x = 19,693.65 × 8,204.30
  4. Step 4: Simplify right side
    13,129.10x = 161,572,612.70
  5. Step 5: Solve for x
    x = 161,572,612.70/13,129.10
  6. Step 6: Final answer
    x = 12,306.45

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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.