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Finding the Fourth Proportional to 19,658.42, 27,127.80 and 10,705.90

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Solution

The fourth proportional to 19,658.42, 27,127.80 and 10,705.90 is: 14,773.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658.42 : 27,127.80 = 10,705.90 : x
  2. Step 2: Convert to fraction form
    19,658.42/27,127.80 = 10,705.90/x
  3. Step 3: Cross multiply
    19,658.42x = 27,127.80 × 10,705.90
  4. Step 4: Simplify right side
    19,658.42x = 290,427,514.02
  5. Step 5: Solve for x
    x = 290,427,514.02/19,658.42
  6. Step 6: Final answer
    x = 14,773.70

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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.