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Finding the Fourth Proportional to 14,368.38, 19,830.18 and 8,081.97

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Solution

The fourth proportional to 14,368.38, 19,830.18 and 8,081.97 is: 11,154.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,368.38 : 19,830.18 = 8,081.97 : x
  2. Step 2: Convert to fraction form
    14,368.38/19,830.18 = 8,081.97/x
  3. Step 3: Cross multiply
    14,368.38x = 19,830.18 × 8,081.97
  4. Step 4: Simplify right side
    14,368.38x = 160,266,919.85
  5. Step 5: Solve for x
    x = 160,266,919.85/14,368.38
  6. Step 6: Final answer
    x = 11,154.14

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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.