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Finding the Fourth Proportional to 14,260.38, 19,678.23 and 7,971.90

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Solution

The fourth proportional to 14,260.38, 19,678.23 and 7,971.90 is: 11,000.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,260.38 : 19,678.23 = 7,971.90 : x
  2. Step 2: Convert to fraction form
    14,260.38/19,678.23 = 7,971.90/x
  3. Step 3: Cross multiply
    14,260.38x = 19,678.23 × 7,971.90
  4. Step 4: Simplify right side
    14,260.38x = 156,872,881.74
  5. Step 5: Solve for x
    x = 156,872,881.74/14,260.38
  6. Step 6: Final answer
    x = 11,000.61

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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.