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Finding the Fourth Proportional to 12,256.34, 18,377.79 and 5,678.90

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Solution

The fourth proportional to 12,256.34, 18,377.79 and 5,678.90 is: 8,515.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,256.34 : 18,377.79 = 5,678.90 : x
  2. Step 2: Convert to fraction form
    12,256.34/18,377.79 = 5,678.90/x
  3. Step 3: Cross multiply
    12,256.34x = 18,377.79 × 5,678.90
  4. Step 4: Simplify right side
    12,256.34x = 104,365,631.63
  5. Step 5: Solve for x
    x = 104,365,631.63/12,256.34
  6. Step 6: Final answer
    x = 8,515.24

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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.