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Finding the Fourth Proportional to 10,233.30, 15,317.55 and 9,909.30

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Solution

The fourth proportional to 10,233.30, 15,317.55 and 9,909.30 is: 14,832.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233.30 : 15,317.55 = 9,909.30 : x
  2. Step 2: Convert to fraction form
    10,233.30/15,317.55 = 9,909.30/x
  3. Step 3: Cross multiply
    10,233.30x = 15,317.55 × 9,909.30
  4. Step 4: Simplify right side
    10,233.30x = 151,786,198.22
  5. Step 5: Solve for x
    x = 151,786,198.22/10,233.30
  6. Step 6: Final answer
    x = 14,832.58

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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.