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Finding the Fourth Proportional to 23,818.80, 32,869.84 and 13,210

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Solution

The fourth proportional to 23,818.80, 32,869.84 and 13,210 is: 18,229.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,818.80 : 32,869.84 = 13,210 : x
  2. Step 2: Convert to fraction form
    23,818.80/32,869.84 = 13,210/x
  3. Step 3: Cross multiply
    23,818.80x = 32,869.84 × 13,210
  4. Step 4: Simplify right side
    23,818.80x = 434,210,586.40
  5. Step 5: Solve for x
    x = 434,210,586.40/23,818.80
  6. Step 6: Final answer
    x = 18,229.74

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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.