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Finding the Fourth Proportional to 15,964, 23,949.84 and 5,020

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Solution

The fourth proportional to 15,964, 23,949.84 and 5,020 is: 7,531.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,964 : 23,949.84 = 5,020 : x
  2. Step 2: Convert to fraction form
    15,964/23,949.84 = 5,020/x
  3. Step 3: Cross multiply
    15,964x = 23,949.84 × 5,020
  4. Step 4: Simplify right side
    15,964x = 120,228,196.80
  5. Step 5: Solve for x
    x = 120,228,196.80/15,964
  6. Step 6: Final answer
    x = 7,531.21

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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.