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Finding the Fourth Proportional to 23,678.86, 32,676.94 and 13,069.18

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Solution

The fourth proportional to 23,678.86, 32,676.94 and 13,069.18 is: 18,035.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,678.86 : 32,676.94 = 13,069.18 : x
  2. Step 2: Convert to fraction form
    23,678.86/32,676.94 = 13,069.18/x
  3. Step 3: Cross multiply
    23,678.86x = 32,676.94 × 13,069.18
  4. Step 4: Simplify right side
    23,678.86x = 427,060,810.71
  5. Step 5: Solve for x
    x = 427,060,810.71/23,678.86
  6. Step 6: Final answer
    x = 18,035.53

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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.