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Finding the Fourth Proportional to 14,062.38, 19,406.15 and 7,774.75

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Solution

The fourth proportional to 14,062.38, 19,406.15 and 7,774.75 is: 10,729.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,062.38 : 19,406.15 = 7,774.75 : x
  2. Step 2: Convert to fraction form
    14,062.38/19,406.15 = 7,774.75/x
  3. Step 3: Cross multiply
    14,062.38x = 19,406.15 × 7,774.75
  4. Step 4: Simplify right side
    14,062.38x = 150,877,964.71
  5. Step 5: Solve for x
    x = 150,877,964.71/14,062.38
  6. Step 6: Final answer
    x = 10,729.19

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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.