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Finding the Fourth Proportional to 26,470.98, 39,706.50 and 9,602.58

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Solution

The fourth proportional to 26,470.98, 39,706.50 and 9,602.58 is: 14,403.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,470.98 : 39,706.50 = 9,602.58 : x
  2. Step 2: Convert to fraction form
    26,470.98/39,706.50 = 9,602.58/x
  3. Step 3: Cross multiply
    26,470.98x = 39,706.50 × 9,602.58
  4. Step 4: Simplify right side
    26,470.98x = 381,284,842.77
  5. Step 5: Solve for x
    x = 381,284,842.77/26,470.98
  6. Step 6: Final answer
    x = 14,403.88

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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.