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Finding the Fourth Proportional to 13,618.16, 20,422.80 and 4,382

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Solution

The fourth proportional to 13,618.16, 20,422.80 and 4,382 is: 6,571.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,618.16 : 20,422.80 = 4,382 : x
  2. Step 2: Convert to fraction form
    13,618.16/20,422.80 = 4,382/x
  3. Step 3: Cross multiply
    13,618.16x = 20,422.80 × 4,382
  4. Step 4: Simplify right side
    13,618.16x = 89,492,709.60
  5. Step 5: Solve for x
    x = 89,492,709.60/13,618.16
  6. Step 6: Final answer
    x = 6,571.57

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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.