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Finding the Fourth Proportional to 10,224.70, 15,337.06 and 3,205.26

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Solution

The fourth proportional to 10,224.70, 15,337.06 and 3,205.26 is: 4,807.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.70 : 15,337.06 = 3,205.26 : x
  2. Step 2: Convert to fraction form
    10,224.70/15,337.06 = 3,205.26/x
  3. Step 3: Cross multiply
    10,224.70x = 15,337.06 × 3,205.26
  4. Step 4: Simplify right side
    10,224.70x = 49,159,326.46
  5. Step 5: Solve for x
    x = 49,159,326.46/10,224.70
  6. Step 6: Final answer
    x = 4,807.90

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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.