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Finding the Fourth Proportional to 23,657.46, 32,661.09 and 15,710.58

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Solution

The fourth proportional to 23,657.46, 32,661.09 and 15,710.58 is: 21,689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657.46 : 32,661.09 = 15,710.58 : x
  2. Step 2: Convert to fraction form
    23,657.46/32,661.09 = 15,710.58/x
  3. Step 3: Cross multiply
    23,657.46x = 32,661.09 × 15,710.58
  4. Step 4: Simplify right side
    23,657.46x = 513,124,667.33
  5. Step 5: Solve for x
    x = 513,124,667.33/23,657.46
  6. Step 6: Final answer
    x = 21,689.76

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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.