Home / 14,823.20-22,241.28-7,896

Finding the Fourth Proportional to 14,823.20, 22,241.28 and 7,896

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Solution

The fourth proportional to 14,823.20, 22,241.28 and 7,896 is: 11,847.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,823.20 : 22,241.28 = 7,896 : x
  2. Step 2: Convert to fraction form
    14,823.20/22,241.28 = 7,896/x
  3. Step 3: Cross multiply
    14,823.20x = 22,241.28 × 7,896
  4. Step 4: Simplify right side
    14,823.20x = 175,617,146.88
  5. Step 5: Solve for x
    x = 175,617,146.88/14,823.20
  6. Step 6: Final answer
    x = 11,847.45

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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.