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Finding the Fourth Proportional to 14,095.76, 19,451.38 and 7,808

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Solution

The fourth proportional to 14,095.76, 19,451.38 and 7,808 is: 10,774.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,095.76 : 19,451.38 = 7,808 : x
  2. Step 2: Convert to fraction form
    14,095.76/19,451.38 = 7,808/x
  3. Step 3: Cross multiply
    14,095.76x = 19,451.38 × 7,808
  4. Step 4: Simplify right side
    14,095.76x = 151,876,375.04
  5. Step 5: Solve for x
    x = 151,876,375.04/14,095.76
  6. Step 6: Final answer
    x = 10,774.61

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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.