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Finding the Fourth Proportional to 13,024.60, 17,972.76 and 7,718.56

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Solution

The fourth proportional to 13,024.60, 17,972.76 and 7,718.56 is: 10,650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024.60 : 17,972.76 = 7,718.56 : x
  2. Step 2: Convert to fraction form
    13,024.60/17,972.76 = 7,718.56/x
  3. Step 3: Cross multiply
    13,024.60x = 17,972.76 × 7,718.56
  4. Step 4: Simplify right side
    13,024.60x = 138,723,826.43
  5. Step 5: Solve for x
    x = 138,723,826.43/13,024.60
  6. Step 6: Final answer
    x = 10,650.91

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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.