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Finding the Fourth Proportional to 21,746.57, 30,024.62 and 16,701.71

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Solution

The fourth proportional to 21,746.57, 30,024.62 and 16,701.71 is: 23,059.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,746.57 : 30,024.62 = 16,701.71 : x
  2. Step 2: Convert to fraction form
    21,746.57/30,024.62 = 16,701.71/x
  3. Step 3: Cross multiply
    21,746.57x = 30,024.62 × 16,701.71
  4. Step 4: Simplify right side
    21,746.57x = 501,462,262.47
  5. Step 5: Solve for x
    x = 501,462,262.47/21,746.57
  6. Step 6: Final answer
    x = 23,059.38

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Why These Related Problems?

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