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Finding the Fourth Proportional to 10,012.30, 15,054.90 and 9,793.60

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Solution

The fourth proportional to 10,012.30, 15,054.90 and 9,793.60 is: 14,726.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.30 : 15,054.90 = 9,793.60 : x
  2. Step 2: Convert to fraction form
    10,012.30/15,054.90 = 9,793.60/x
  3. Step 3: Cross multiply
    10,012.30x = 15,054.90 × 9,793.60
  4. Step 4: Simplify right side
    10,012.30x = 147,441,668.64
  5. Step 5: Solve for x
    x = 147,441,668.64/10,012.30
  6. Step 6: Final answer
    x = 14,726.05

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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.