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Finding the Fourth Proportional to 29,283.39, 40,411.06 and 15,854.63

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Solution

The fourth proportional to 29,283.39, 40,411.06 and 15,854.63 is: 21,879.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,283.39 : 40,411.06 = 15,854.63 : x
  2. Step 2: Convert to fraction form
    29,283.39/40,411.06 = 15,854.63/x
  3. Step 3: Cross multiply
    29,283.39x = 40,411.06 × 15,854.63
  4. Step 4: Simplify right side
    29,283.39x = 640,702,404.21
  5. Step 5: Solve for x
    x = 640,702,404.21/29,283.39
  6. Step 6: Final answer
    x = 21,879.38

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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.