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Finding the Fourth Proportional to 29,283.57, 40,411.32 and 15,854.82

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Solution

The fourth proportional to 29,283.57, 40,411.32 and 15,854.82 is: 21,879.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,283.57 : 40,411.32 = 15,854.82 : x
  2. Step 2: Convert to fraction form
    29,283.57/40,411.32 = 15,854.82/x
  3. Step 3: Cross multiply
    29,283.57x = 40,411.32 × 15,854.82
  4. Step 4: Simplify right side
    29,283.57x = 640,714,204.56
  5. Step 5: Solve for x
    x = 640,714,204.56/29,283.57
  6. Step 6: Final answer
    x = 21,879.65

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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.