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Finding the Fourth Proportional to 15,954, 23,934.84 and 5,010

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Solution

The fourth proportional to 15,954, 23,934.84 and 5,010 is: 7,516.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,954 : 23,934.84 = 5,010 : x
  2. Step 2: Convert to fraction form
    15,954/23,934.84 = 5,010/x
  3. Step 3: Cross multiply
    15,954x = 23,934.84 × 5,010
  4. Step 4: Simplify right side
    15,954x = 119,913,548.40
  5. Step 5: Solve for x
    x = 119,913,548.40/15,954
  6. Step 6: Final answer
    x = 7,516.21

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Why These Related Problems?

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