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Finding the Fourth Proportional to 26,005.34, 39,011.26 and 8,470.46

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Solution

The fourth proportional to 26,005.34, 39,011.26 and 8,470.46 is: 12,706.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,005.34 : 39,011.26 = 8,470.46 : x
  2. Step 2: Convert to fraction form
    26,005.34/39,011.26 = 8,470.46/x
  3. Step 3: Cross multiply
    26,005.34x = 39,011.26 × 8,470.46
  4. Step 4: Simplify right side
    26,005.34x = 330,443,317.38
  5. Step 5: Solve for x
    x = 330,443,317.38/26,005.34
  6. Step 6: Final answer
    x = 12,706.75

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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.