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Finding the Fourth Proportional to 18,724.16, 25,838.04 and 10,340

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Solution

The fourth proportional to 18,724.16, 25,838.04 and 10,340 is: 14,268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,724.16 : 25,838.04 = 10,340 : x
  2. Step 2: Convert to fraction form
    18,724.16/25,838.04 = 10,340/x
  3. Step 3: Cross multiply
    18,724.16x = 25,838.04 × 10,340
  4. Step 4: Simplify right side
    18,724.16x = 267,165,333.60
  5. Step 5: Solve for x
    x = 267,165,333.60/18,724.16
  6. Step 6: Final answer
    x = 14,268.48

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Why These Related Problems?

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