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Finding the Fourth Proportional to 10,697.70, 16,003.35 and 9,252.90

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Solution

The fourth proportional to 10,697.70, 16,003.35 and 9,252.90 is: 13,841.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.70 : 16,003.35 = 9,252.90 : x
  2. Step 2: Convert to fraction form
    10,697.70/16,003.35 = 9,252.90/x
  3. Step 3: Cross multiply
    10,697.70x = 16,003.35 × 9,252.90
  4. Step 4: Simplify right side
    10,697.70x = 148,077,397.22
  5. Step 5: Solve for x
    x = 148,077,397.22/10,697.70
  6. Step 6: Final answer
    x = 13,841.98

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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.