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Finding the Fourth Proportional to 14,310.16, 21,460.92 and 5,074

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Solution

The fourth proportional to 14,310.16, 21,460.92 and 5,074 is: 7,609.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,310.16 : 21,460.92 = 5,074 : x
  2. Step 2: Convert to fraction form
    14,310.16/21,460.92 = 5,074/x
  3. Step 3: Cross multiply
    14,310.16x = 21,460.92 × 5,074
  4. Step 4: Simplify right side
    14,310.16x = 108,892,708.08
  5. Step 5: Solve for x
    x = 108,892,708.08/14,310.16
  6. Step 6: Final answer
    x = 7,609.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.