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Finding the Fourth Proportional to 24,013.34, 35,995.03 and 9,981

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Solution

The fourth proportional to 24,013.34, 35,995.03 and 9,981 is: 14,961.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,013.34 : 35,995.03 = 9,981 : x
  2. Step 2: Convert to fraction form
    24,013.34/35,995.03 = 9,981/x
  3. Step 3: Cross multiply
    24,013.34x = 35,995.03 × 9,981
  4. Step 4: Simplify right side
    24,013.34x = 359,266,369.48
  5. Step 5: Solve for x
    x = 359,266,369.48/24,013.34
  6. Step 6: Final answer
    x = 14,961.12

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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.