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Finding the Fourth Proportional to 10,267.10, 15,412.80 and 10,194.20

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Solution

The fourth proportional to 10,267.10, 15,412.80 and 10,194.20 is: 15,303.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267.10 : 15,412.80 = 10,194.20 : x
  2. Step 2: Convert to fraction form
    10,267.10/15,412.80 = 10,194.20/x
  3. Step 3: Cross multiply
    10,267.10x = 15,412.80 × 10,194.20
  4. Step 4: Simplify right side
    10,267.10x = 157,121,165.76
  5. Step 5: Solve for x
    x = 157,121,165.76/10,267.10
  6. Step 6: Final answer
    x = 15,303.36

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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.