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Finding the Fourth Proportional to 19,654.64, 27,123.41 and 10,702.14

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Solution

The fourth proportional to 19,654.64, 27,123.41 and 10,702.14 is: 14,768.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,654.64 : 27,123.41 = 10,702.14 : x
  2. Step 2: Convert to fraction form
    19,654.64/27,123.41 = 10,702.14/x
  3. Step 3: Cross multiply
    19,654.64x = 27,123.41 × 10,702.14
  4. Step 4: Simplify right side
    19,654.64x = 290,278,477.59
  5. Step 5: Solve for x
    x = 290,278,477.59/19,654.64
  6. Step 6: Final answer
    x = 14,768.96

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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.