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Finding the Fourth Proportional to 14,382.40, 21,560.80 and 12,827.20

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Solution

The fourth proportional to 14,382.40, 21,560.80 and 12,827.20 is: 19,229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382.40 : 21,560.80 = 12,827.20 : x
  2. Step 2: Convert to fraction form
    14,382.40/21,560.80 = 12,827.20/x
  3. Step 3: Cross multiply
    14,382.40x = 21,560.80 × 12,827.20
  4. Step 4: Simplify right side
    14,382.40x = 276,564,693.76
  5. Step 5: Solve for x
    x = 276,564,693.76/14,382.40
  6. Step 6: Final answer
    x = 19,229.38

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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.