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Finding the Fourth Proportional to 19,777.81, 27,293.14 and 10,702.96

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Solution

The fourth proportional to 19,777.81, 27,293.14 and 10,702.96 is: 14,769.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,777.81 : 27,293.14 = 10,702.96 : x
  2. Step 2: Convert to fraction form
    19,777.81/27,293.14 = 10,702.96/x
  3. Step 3: Cross multiply
    19,777.81x = 27,293.14 × 10,702.96
  4. Step 4: Simplify right side
    19,777.81x = 292,117,391.71
  5. Step 5: Solve for x
    x = 292,117,391.71/19,777.81
  6. Step 6: Final answer
    x = 14,769.96

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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.