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Finding the Fourth Proportional to 23,157.36, 34,737.48 and 9,306

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Solution

The fourth proportional to 23,157.36, 34,737.48 and 9,306 is: 13,959.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,157.36 : 34,737.48 = 9,306 : x
  2. Step 2: Convert to fraction form
    23,157.36/34,737.48 = 9,306/x
  3. Step 3: Cross multiply
    23,157.36x = 34,737.48 × 9,306
  4. Step 4: Simplify right side
    23,157.36x = 323,266,988.88
  5. Step 5: Solve for x
    x = 323,266,988.88/23,157.36
  6. Step 6: Final answer
    x = 13,959.58

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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.