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Finding the Fourth Proportional to 17,705.84, 24,434.94 and 9,747.98

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Solution

The fourth proportional to 17,705.84, 24,434.94 and 9,747.98 is: 13,452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.84 : 24,434.94 = 9,747.98 : x
  2. Step 2: Convert to fraction form
    17,705.84/24,434.94 = 9,747.98/x
  3. Step 3: Cross multiply
    17,705.84x = 24,434.94 × 9,747.98
  4. Step 4: Simplify right side
    17,705.84x = 238,191,306.42
  5. Step 5: Solve for x
    x = 238,191,306.42/17,705.84
  6. Step 6: Final answer
    x = 13,452.70

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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.