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Finding the Fourth Proportional to 24,694.08, 34,077.76 and 13,516

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Solution

The fourth proportional to 24,694.08, 34,077.76 and 13,516 is: 18,652.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,694.08 : 34,077.76 = 13,516 : x
  2. Step 2: Convert to fraction form
    24,694.08/34,077.76 = 13,516/x
  3. Step 3: Cross multiply
    24,694.08x = 34,077.76 × 13,516
  4. Step 4: Simplify right side
    24,694.08x = 460,595,004.16
  5. Step 5: Solve for x
    x = 460,595,004.16/24,694.08
  6. Step 6: Final answer
    x = 18,652.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.