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Finding the Fourth Proportional to 19,368, 26,730.68 and 11,414.61

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Solution

The fourth proportional to 19,368, 26,730.68 and 11,414.61 is: 15,753.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,368 : 26,730.68 = 11,414.61 : x
  2. Step 2: Convert to fraction form
    19,368/26,730.68 = 11,414.61/x
  3. Step 3: Cross multiply
    19,368x = 26,730.68 × 11,414.61
  4. Step 4: Simplify right side
    19,368x = 305,120,230.16
  5. Step 5: Solve for x
    x = 305,120,230.16/19,368
  6. Step 6: Final answer
    x = 15,753.83

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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.