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Finding the Fourth Proportional to 23,657.58, 32,637.15 and 15,580.80

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Solution

The fourth proportional to 23,657.58, 32,637.15 and 15,580.80 is: 21,494.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,657.58 : 32,637.15 = 15,580.80 : x
  2. Step 2: Convert to fraction form
    23,657.58/32,637.15 = 15,580.80/x
  3. Step 3: Cross multiply
    23,657.58x = 32,637.15 × 15,580.80
  4. Step 4: Simplify right side
    23,657.58x = 508,512,906.72
  5. Step 5: Solve for x
    x = 508,512,906.72/23,657.58
  6. Step 6: Final answer
    x = 21,494.71

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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.