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Finding the Fourth Proportional to 31,863.60, 43,969.32 and 17,714.16

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Solution

The fourth proportional to 31,863.60, 43,969.32 and 17,714.16 is: 24,444.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,863.60 : 43,969.32 = 17,714.16 : x
  2. Step 2: Convert to fraction form
    31,863.60/43,969.32 = 17,714.16/x
  3. Step 3: Cross multiply
    31,863.60x = 43,969.32 × 17,714.16
  4. Step 4: Simplify right side
    31,863.60x = 778,879,569.57
  5. Step 5: Solve for x
    x = 778,879,569.57/31,863.60
  6. Step 6: Final answer
    x = 24,444.18

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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.