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Finding the Fourth Proportional to 15,398.20, 23,110.80 and 9,150.40

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Solution

The fourth proportional to 15,398.20, 23,110.80 and 9,150.40 is: 13,733.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,398.20 : 23,110.80 = 9,150.40 : x
  2. Step 2: Convert to fraction form
    15,398.20/23,110.80 = 9,150.40/x
  3. Step 3: Cross multiply
    15,398.20x = 23,110.80 × 9,150.40
  4. Step 4: Simplify right side
    15,398.20x = 211,473,064.32
  5. Step 5: Solve for x
    x = 211,473,064.32/15,398.20
  6. Step 6: Final answer
    x = 13,733.62

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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.