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Finding the Fourth Proportional to 15,311.40, 22,966.56 and 6,077.40

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Solution

The fourth proportional to 15,311.40, 22,966.56 and 6,077.40 is: 9,115.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,311.40 : 22,966.56 = 6,077.40 : x
  2. Step 2: Convert to fraction form
    15,311.40/22,966.56 = 6,077.40/x
  3. Step 3: Cross multiply
    15,311.40x = 22,966.56 × 6,077.40
  4. Step 4: Simplify right side
    15,311.40x = 139,576,971.74
  5. Step 5: Solve for x
    x = 139,576,971.74/15,311.40
  6. Step 6: Final answer
    x = 9,115.89

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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.