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Finding the Fourth Proportional to 12,376.20, 18,527.85 and 8,220.90

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Solution

The fourth proportional to 12,376.20, 18,527.85 and 8,220.90 is: 12,307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376.20 : 18,527.85 = 8,220.90 : x
  2. Step 2: Convert to fraction form
    12,376.20/18,527.85 = 8,220.90/x
  3. Step 3: Cross multiply
    12,376.20x = 18,527.85 × 8,220.90
  4. Step 4: Simplify right side
    12,376.20x = 152,315,602.07
  5. Step 5: Solve for x
    x = 152,315,602.07/12,376.20
  6. Step 6: Final answer
    x = 12,307.14

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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.