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Finding the Fourth Proportional to 15,254.15, 22,876.37 and 7,857.64

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Solution

The fourth proportional to 15,254.15, 22,876.37 and 7,857.64 is: 11,783.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,254.15 : 22,876.37 = 7,857.64 : x
  2. Step 2: Convert to fraction form
    15,254.15/22,876.37 = 7,857.64/x
  3. Step 3: Cross multiply
    15,254.15x = 22,876.37 × 7,857.64
  4. Step 4: Simplify right side
    15,254.15x = 179,754,126.30
  5. Step 5: Solve for x
    x = 179,754,126.30/15,254.15
  6. Step 6: Final answer
    x = 11,783.95

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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.