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Finding the Fourth Proportional to 10,353.06, 15,433.70 and 10,193.22

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Solution

The fourth proportional to 10,353.06, 15,433.70 and 10,193.22 is: 15,195.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.06 : 15,433.70 = 10,193.22 : x
  2. Step 2: Convert to fraction form
    10,353.06/15,433.70 = 10,193.22/x
  3. Step 3: Cross multiply
    10,353.06x = 15,433.70 × 10,193.22
  4. Step 4: Simplify right side
    10,353.06x = 157,319,048.55
  5. Step 5: Solve for x
    x = 157,319,048.55/10,353.06
  6. Step 6: Final answer
    x = 15,195.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.