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Finding the Fourth Proportional to 14,684.14, 22,040.80 and 11,432.80

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Solution

The fourth proportional to 14,684.14, 22,040.80 and 11,432.80 is: 17,160.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,684.14 : 22,040.80 = 11,432.80 : x
  2. Step 2: Convert to fraction form
    14,684.14/22,040.80 = 11,432.80/x
  3. Step 3: Cross multiply
    14,684.14x = 22,040.80 × 11,432.80
  4. Step 4: Simplify right side
    14,684.14x = 251,988,058.24
  5. Step 5: Solve for x
    x = 251,988,058.24/14,684.14
  6. Step 6: Final answer
    x = 17,160.56

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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.