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Finding the Fourth Proportional to 10,452.33, 14,330.70 and 10,265.22

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Solution

The fourth proportional to 10,452.33, 14,330.70 and 10,265.22 is: 14,074.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.33 : 14,330.70 = 10,265.22 : x
  2. Step 2: Convert to fraction form
    10,452.33/14,330.70 = 10,265.22/x
  3. Step 3: Cross multiply
    10,452.33x = 14,330.70 × 10,265.22
  4. Step 4: Simplify right side
    10,452.33x = 147,107,788.25
  5. Step 5: Solve for x
    x = 147,107,788.25/10,452.33
  6. Step 6: Final answer
    x = 14,074.16

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.