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Finding the Fourth Proportional to 12,225, 16,870.50 and 8,040.72

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Solution

The fourth proportional to 12,225, 16,870.50 and 8,040.72 is: 11,096.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225 : 16,870.50 = 8,040.72 : x
  2. Step 2: Convert to fraction form
    12,225/16,870.50 = 8,040.72/x
  3. Step 3: Cross multiply
    12,225x = 16,870.50 × 8,040.72
  4. Step 4: Simplify right side
    12,225x = 135,650,966.76
  5. Step 5: Solve for x
    x = 135,650,966.76/12,225
  6. Step 6: Final answer
    x = 11,096.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.