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Finding the Fourth Proportional to 14,177.78, 19,565.42 and 7,805.02

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Solution

The fourth proportional to 14,177.78, 19,565.42 and 7,805.02 is: 10,770.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,177.78 : 19,565.42 = 7,805.02 : x
  2. Step 2: Convert to fraction form
    14,177.78/19,565.42 = 7,805.02/x
  3. Step 3: Cross multiply
    14,177.78x = 19,565.42 × 7,805.02
  4. Step 4: Simplify right side
    14,177.78x = 152,708,443.15
  5. Step 5: Solve for x
    x = 152,708,443.15/14,177.78
  6. Step 6: Final answer
    x = 10,770.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.