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Finding the Fourth Proportional to 23,818.68, 32,870.07 and 13,208.49

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Solution

The fourth proportional to 23,818.68, 32,870.07 and 13,208.49 is: 18,227.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,818.68 : 32,870.07 = 13,208.49 : x
  2. Step 2: Convert to fraction form
    23,818.68/32,870.07 = 13,208.49/x
  3. Step 3: Cross multiply
    23,818.68x = 32,870.07 × 13,208.49
  4. Step 4: Simplify right side
    23,818.68x = 434,163,990.89
  5. Step 5: Solve for x
    x = 434,163,990.89/23,818.68
  6. Step 6: Final answer
    x = 18,227.88

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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.