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Finding the Fourth Proportional to 13,024.13, 17,972.69 and 7,358.18

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Solution

The fourth proportional to 13,024.13, 17,972.69 and 7,358.18 is: 10,153.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024.13 : 17,972.69 = 7,358.18 : x
  2. Step 2: Convert to fraction form
    13,024.13/17,972.69 = 7,358.18/x
  3. Step 3: Cross multiply
    13,024.13x = 17,972.69 × 7,358.18
  4. Step 4: Simplify right side
    13,024.13x = 132,246,161.45
  5. Step 5: Solve for x
    x = 132,246,161.45/13,024.13
  6. Step 6: Final answer
    x = 10,153.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.