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Finding the Fourth Proportional to 14,111.38, 19,473.81 and 7,823.75

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Solution

The fourth proportional to 14,111.38, 19,473.81 and 7,823.75 is: 10,796.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,111.38 : 19,473.81 = 7,823.75 : x
  2. Step 2: Convert to fraction form
    14,111.38/19,473.81 = 7,823.75/x
  3. Step 3: Cross multiply
    14,111.38x = 19,473.81 × 7,823.75
  4. Step 4: Simplify right side
    14,111.38x = 152,358,220.99
  5. Step 5: Solve for x
    x = 152,358,220.99/14,111.38
  6. Step 6: Final answer
    x = 10,796.83

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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.