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Finding the Fourth Proportional to 11,407.50, 17,114.76 and 10,230.06

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Solution

The fourth proportional to 11,407.50, 17,114.76 and 10,230.06 is: 15,348.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.50 : 17,114.76 = 10,230.06 : x
  2. Step 2: Convert to fraction form
    11,407.50/17,114.76 = 10,230.06/x
  3. Step 3: Cross multiply
    11,407.50x = 17,114.76 × 10,230.06
  4. Step 4: Simplify right side
    11,407.50x = 175,085,021.69
  5. Step 5: Solve for x
    x = 175,085,021.69/11,407.50
  6. Step 6: Final answer
    x = 15,348.24

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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.