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Finding the Fourth Proportional to 16,002.97, 22,077.93 and 10,024.23

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Solution

The fourth proportional to 16,002.97, 22,077.93 and 10,024.23 is: 13,829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.97 : 22,077.93 = 10,024.23 : x
  2. Step 2: Convert to fraction form
    16,002.97/22,077.93 = 10,024.23/x
  3. Step 3: Cross multiply
    16,002.97x = 22,077.93 × 10,024.23
  4. Step 4: Simplify right side
    16,002.97x = 221,314,248.24
  5. Step 5: Solve for x
    x = 221,314,248.24/16,002.97
  6. Step 6: Final answer
    x = 13,829.57

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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.