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Finding the Fourth Proportional to 13,541.97, 20,315.28 and 4,656.90

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Solution

The fourth proportional to 13,541.97, 20,315.28 and 4,656.90 is: 6,986.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,541.97 : 20,315.28 = 4,656.90 : x
  2. Step 2: Convert to fraction form
    13,541.97/20,315.28 = 4,656.90/x
  3. Step 3: Cross multiply
    13,541.97x = 20,315.28 × 4,656.90
  4. Step 4: Simplify right side
    13,541.97x = 94,606,227.43
  5. Step 5: Solve for x
    x = 94,606,227.43/13,541.97
  6. Step 6: Final answer
    x = 6,986.15

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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.