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Finding the Fourth Proportional to 19,532.84, 29,310.18 and 7,854.26

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Solution

The fourth proportional to 19,532.84, 29,310.18 and 7,854.26 is: 11,785.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,532.84 : 29,310.18 = 7,854.26 : x
  2. Step 2: Convert to fraction form
    19,532.84/29,310.18 = 7,854.26/x
  3. Step 3: Cross multiply
    19,532.84x = 29,310.18 × 7,854.26
  4. Step 4: Simplify right side
    19,532.84x = 230,209,774.37
  5. Step 5: Solve for x
    x = 230,209,774.37/19,532.84
  6. Step 6: Final answer
    x = 11,785.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.