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Finding the Fourth Proportional to 14,594.78, 20,140.41 and 8,306.78

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Solution

The fourth proportional to 14,594.78, 20,140.41 and 8,306.78 is: 11,463.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,594.78 : 20,140.41 = 8,306.78 : x
  2. Step 2: Convert to fraction form
    14,594.78/20,140.41 = 8,306.78/x
  3. Step 3: Cross multiply
    14,594.78x = 20,140.41 × 8,306.78
  4. Step 4: Simplify right side
    14,594.78x = 167,301,954.98
  5. Step 5: Solve for x
    x = 167,301,954.98/14,594.78
  6. Step 6: Final answer
    x = 11,463.14

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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.