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Finding the Fourth Proportional to 14,259.96, 19,678.68 and 7,972.38

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Solution

The fourth proportional to 14,259.96, 19,678.68 and 7,972.38 is: 11,001.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,259.96 : 19,678.68 = 7,972.38 : x
  2. Step 2: Convert to fraction form
    14,259.96/19,678.68 = 7,972.38/x
  3. Step 3: Cross multiply
    14,259.96x = 19,678.68 × 7,972.38
  4. Step 4: Simplify right side
    14,259.96x = 156,885,914.86
  5. Step 5: Solve for x
    x = 156,885,914.86/14,259.96
  6. Step 6: Final answer
    x = 11,001.85

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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.