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Finding the Fourth Proportional to 19,780.59, 27,296.98 and 10,705.74

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Solution

The fourth proportional to 19,780.59, 27,296.98 and 10,705.74 is: 14,773.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,780.59 : 27,296.98 = 10,705.74 : x
  2. Step 2: Convert to fraction form
    19,780.59/27,296.98 = 10,705.74/x
  3. Step 3: Cross multiply
    19,780.59x = 27,296.98 × 10,705.74
  4. Step 4: Simplify right side
    19,780.59x = 292,234,370.67
  5. Step 5: Solve for x
    x = 292,234,370.67/19,780.59
  6. Step 6: Final answer
    x = 14,773.79

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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.