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Finding the Fourth Proportional to 17,706.84, 24,434.51 and 9,748.59

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Solution

The fourth proportional to 17,706.84, 24,434.51 and 9,748.59 is: 13,452.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.84 : 24,434.51 = 9,748.59 : x
  2. Step 2: Convert to fraction form
    17,706.84/24,434.51 = 9,748.59/x
  3. Step 3: Cross multiply
    17,706.84x = 24,434.51 × 9,748.59
  4. Step 4: Simplify right side
    17,706.84x = 238,201,934.30
  5. Step 5: Solve for x
    x = 238,201,934.30/17,706.84
  6. Step 6: Final answer
    x = 13,452.54

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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.