Home / 24,014.34-35,996.53-9,982

Finding the Fourth Proportional to 24,014.34, 35,996.53 and 9,982

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Solution

The fourth proportional to 24,014.34, 35,996.53 and 9,982 is: 14,962.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,014.34 : 35,996.53 = 9,982 : x
  2. Step 2: Convert to fraction form
    24,014.34/35,996.53 = 9,982/x
  3. Step 3: Cross multiply
    24,014.34x = 35,996.53 × 9,982
  4. Step 4: Simplify right side
    24,014.34x = 359,317,362.46
  5. Step 5: Solve for x
    x = 359,317,362.46/24,014.34
  6. Step 6: Final answer
    x = 14,962.62

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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.