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Finding the Fourth Proportional to 10,605.12, 15,891.67 and 9,671.39

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Solution

The fourth proportional to 10,605.12, 15,891.67 and 9,671.39 is: 14,492.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.12 : 15,891.67 = 9,671.39 : x
  2. Step 2: Convert to fraction form
    10,605.12/15,891.67 = 9,671.39/x
  3. Step 3: Cross multiply
    10,605.12x = 15,891.67 × 9,671.39
  4. Step 4: Simplify right side
    10,605.12x = 153,694,538.32
  5. Step 5: Solve for x
    x = 153,694,538.32/10,605.12
  6. Step 6: Final answer
    x = 14,492.48

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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.