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Finding the Fourth Proportional to 14,871.06, 22,304.57 and 8,219.88

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Solution

The fourth proportional to 14,871.06, 22,304.57 and 8,219.88 is: 12,328.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,871.06 : 22,304.57 = 8,219.88 : x
  2. Step 2: Convert to fraction form
    14,871.06/22,304.57 = 8,219.88/x
  3. Step 3: Cross multiply
    14,871.06x = 22,304.57 × 8,219.88
  4. Step 4: Simplify right side
    14,871.06x = 183,340,847.75
  5. Step 5: Solve for x
    x = 183,340,847.75/14,871.06
  6. Step 6: Final answer
    x = 12,328.70

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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.