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Finding the Fourth Proportional to 10,898.04, 16,314.04 and 9,858.49

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Solution

The fourth proportional to 10,898.04, 16,314.04 and 9,858.49 is: 14,757.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898.04 : 16,314.04 = 9,858.49 : x
  2. Step 2: Convert to fraction form
    10,898.04/16,314.04 = 9,858.49/x
  3. Step 3: Cross multiply
    10,898.04x = 16,314.04 × 9,858.49
  4. Step 4: Simplify right side
    10,898.04x = 160,831,800.20
  5. Step 5: Solve for x
    x = 160,831,800.20/10,898.04
  6. Step 6: Final answer
    x = 14,757.86

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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.