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Finding the Fourth Proportional to 15,462.24, 23,193.12 and 6,228

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Solution

The fourth proportional to 15,462.24, 23,193.12 and 6,228 is: 9,341.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,462.24 : 23,193.12 = 6,228 : x
  2. Step 2: Convert to fraction form
    15,462.24/23,193.12 = 6,228/x
  3. Step 3: Cross multiply
    15,462.24x = 23,193.12 × 6,228
  4. Step 4: Simplify right side
    15,462.24x = 144,446,751.36
  5. Step 5: Solve for x
    x = 144,446,751.36/15,462.24
  6. Step 6: Final answer
    x = 9,341.90

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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.