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Finding the Fourth Proportional to 15,165.30, 22,757.76 and 8,056.02

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Solution

The fourth proportional to 15,165.30, 22,757.76 and 8,056.02 is: 12,089.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,165.30 : 22,757.76 = 8,056.02 : x
  2. Step 2: Convert to fraction form
    15,165.30/22,757.76 = 8,056.02/x
  3. Step 3: Cross multiply
    15,165.30x = 22,757.76 × 8,056.02
  4. Step 4: Simplify right side
    15,165.30x = 183,336,969.72
  5. Step 5: Solve for x
    x = 183,336,969.72/15,165.30
  6. Step 6: Final answer
    x = 12,089.24

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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.