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Finding the Fourth Proportional to 26,000.49, 39,000.71 and 8,470.29

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Solution

The fourth proportional to 26,000.49, 39,000.71 and 8,470.29 is: 12,705.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,000.49 : 39,000.71 = 8,470.29 : x
  2. Step 2: Convert to fraction form
    26,000.49/39,000.71 = 8,470.29/x
  3. Step 3: Cross multiply
    26,000.49x = 39,000.71 × 8,470.29
  4. Step 4: Simplify right side
    26,000.49x = 330,347,281.55
  5. Step 5: Solve for x
    x = 330,347,281.55/26,000.49
  6. Step 6: Final answer
    x = 12,705.43

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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.