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Finding the Fourth Proportional to 10,901.70, 16,352.55 and 9,808.20

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Solution

The fourth proportional to 10,901.70, 16,352.55 and 9,808.20 is: 14,712.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,901.70 : 16,352.55 = 9,808.20 : x
  2. Step 2: Convert to fraction form
    10,901.70/16,352.55 = 9,808.20/x
  3. Step 3: Cross multiply
    10,901.70x = 16,352.55 × 9,808.20
  4. Step 4: Simplify right side
    10,901.70x = 160,389,080.91
  5. Step 5: Solve for x
    x = 160,389,080.91/10,901.70
  6. Step 6: Final answer
    x = 14,712.30

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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.