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Finding the Fourth Proportional to 14,678.32, 22,014.87 and 6,780.46

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Solution

The fourth proportional to 14,678.32, 22,014.87 and 6,780.46 is: 10,169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678.32 : 22,014.87 = 6,780.46 : x
  2. Step 2: Convert to fraction form
    14,678.32/22,014.87 = 6,780.46/x
  3. Step 3: Cross multiply
    14,678.32x = 22,014.87 × 6,780.46
  4. Step 4: Simplify right side
    14,678.32x = 149,270,945.44
  5. Step 5: Solve for x
    x = 149,270,945.44/14,678.32
  6. Step 6: Final answer
    x = 10,169.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.