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Finding the Fourth Proportional to 10,145.67, 15,220.67 and 4,302.15

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Solution

The fourth proportional to 10,145.67, 15,220.67 and 4,302.15 is: 6,454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.67 : 15,220.67 = 4,302.15 : x
  2. Step 2: Convert to fraction form
    10,145.67/15,220.67 = 4,302.15/x
  3. Step 3: Cross multiply
    10,145.67x = 15,220.67 × 4,302.15
  4. Step 4: Simplify right side
    10,145.67x = 65,481,583.93
  5. Step 5: Solve for x
    x = 65,481,583.93/10,145.67
  6. Step 6: Final answer
    x = 6,454.14

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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.