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Finding the Fourth Proportional to 35,344.24, 53,024.20 and 11,659.13

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Solution

The fourth proportional to 35,344.24, 53,024.20 and 11,659.13 is: 17,491.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,344.24 : 53,024.20 = 11,659.13 : x
  2. Step 2: Convert to fraction form
    35,344.24/53,024.20 = 11,659.13/x
  3. Step 3: Cross multiply
    35,344.24x = 53,024.20 × 11,659.13
  4. Step 4: Simplify right side
    35,344.24x = 618,216,040.95
  5. Step 5: Solve for x
    x = 618,216,040.95/35,344.24
  6. Step 6: Final answer
    x = 17,491.28

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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.