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Finding the Fourth Proportional to 14,678.98, 22,001.38 and 7,288.13

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Solution

The fourth proportional to 14,678.98, 22,001.38 and 7,288.13 is: 10,923.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,678.98 : 22,001.38 = 7,288.13 : x
  2. Step 2: Convert to fraction form
    14,678.98/22,001.38 = 7,288.13/x
  3. Step 3: Cross multiply
    14,678.98x = 22,001.38 × 7,288.13
  4. Step 4: Simplify right side
    14,678.98x = 160,348,917.62
  5. Step 5: Solve for x
    x = 160,348,917.62/14,678.98
  6. Step 6: Final answer
    x = 10,923.71

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