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Finding the Fourth Proportional to 23,322.63, 32,159.82 and 15,755.82

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Solution

The fourth proportional to 23,322.63, 32,159.82 and 15,755.82 is: 21,725.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,322.63 : 32,159.82 = 15,755.82 : x
  2. Step 2: Convert to fraction form
    23,322.63/32,159.82 = 15,755.82/x
  3. Step 3: Cross multiply
    23,322.63x = 32,159.82 × 15,755.82
  4. Step 4: Simplify right side
    23,322.63x = 506,704,335.15
  5. Step 5: Solve for x
    x = 506,704,335.15/23,322.63
  6. Step 6: Final answer
    x = 21,725.87

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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.