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Finding the Fourth Proportional to 14,189.86, 21,288.18 and 6,398.65

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Solution

The fourth proportional to 14,189.86, 21,288.18 and 6,398.65 is: 9,599.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,189.86 : 21,288.18 = 6,398.65 : x
  2. Step 2: Convert to fraction form
    14,189.86/21,288.18 = 6,398.65/x
  3. Step 3: Cross multiply
    14,189.86x = 21,288.18 × 6,398.65
  4. Step 4: Simplify right side
    14,189.86x = 136,215,612.96
  5. Step 5: Solve for x
    x = 136,215,612.96/14,189.86
  6. Step 6: Final answer
    x = 9,599.50

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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.