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Finding the Fourth Proportional to 14,478.55, 21,728.21 and 6,164.40

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Solution

The fourth proportional to 14,478.55, 21,728.21 and 6,164.40 is: 9,251.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,478.55 : 21,728.21 = 6,164.40 : x
  2. Step 2: Convert to fraction form
    14,478.55/21,728.21 = 6,164.40/x
  3. Step 3: Cross multiply
    14,478.55x = 21,728.21 × 6,164.40
  4. Step 4: Simplify right side
    14,478.55x = 133,941,377.72
  5. Step 5: Solve for x
    x = 133,941,377.72/14,478.55
  6. Step 6: Final answer
    x = 9,251.02

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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.