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Finding the Fourth Proportional to 23,818, 32,869.76 and 13,207.41

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Solution

The fourth proportional to 23,818, 32,869.76 and 13,207.41 is: 18,226.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,818 : 32,869.76 = 13,207.41 : x
  2. Step 2: Convert to fraction form
    23,818/32,869.76 = 13,207.41/x
  3. Step 3: Cross multiply
    23,818x = 32,869.76 × 13,207.41
  4. Step 4: Simplify right side
    23,818x = 434,124,396.92
  5. Step 5: Solve for x
    x = 434,124,396.92/23,818
  6. Step 6: Final answer
    x = 18,226.74

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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.