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Finding the Fourth Proportional to 10,698.48, 16,057.44 and 9,156.24

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Solution

The fourth proportional to 10,698.48, 16,057.44 and 9,156.24 is: 13,742.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.48 : 16,057.44 = 9,156.24 : x
  2. Step 2: Convert to fraction form
    10,698.48/16,057.44 = 9,156.24/x
  3. Step 3: Cross multiply
    10,698.48x = 16,057.44 × 9,156.24
  4. Step 4: Simplify right side
    10,698.48x = 147,025,774.43
  5. Step 5: Solve for x
    x = 147,025,774.43/10,698.48
  6. Step 6: Final answer
    x = 13,742.68

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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.