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Finding the Fourth Proportional to 15,215.70, 22,823.55 and 9,310.80

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Solution

The fourth proportional to 15,215.70, 22,823.55 and 9,310.80 is: 13,966.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,215.70 : 22,823.55 = 9,310.80 : x
  2. Step 2: Convert to fraction form
    15,215.70/22,823.55 = 9,310.80/x
  3. Step 3: Cross multiply
    15,215.70x = 22,823.55 × 9,310.80
  4. Step 4: Simplify right side
    15,215.70x = 212,505,509.34
  5. Step 5: Solve for x
    x = 212,505,509.34/15,215.70
  6. Step 6: Final answer
    x = 13,966.20

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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.