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Finding the Fourth Proportional to 15,254.21, 22,895.76 and 7,863.77

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Solution

The fourth proportional to 15,254.21, 22,895.76 and 7,863.77 is: 11,803.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,254.21 : 22,895.76 = 7,863.77 : x
  2. Step 2: Convert to fraction form
    15,254.21/22,895.76 = 7,863.77/x
  3. Step 3: Cross multiply
    15,254.21x = 22,895.76 × 7,863.77
  4. Step 4: Simplify right side
    15,254.21x = 180,046,990.62
  5. Step 5: Solve for x
    x = 180,046,990.62/15,254.21
  6. Step 6: Final answer
    x = 11,803.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.