Home / 22,633.04-33,941.16-7,838

Finding the Fourth Proportional to 22,633.04, 33,941.16 and 7,838

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Solution

The fourth proportional to 22,633.04, 33,941.16 and 7,838 is: 11,754.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,633.04 : 33,941.16 = 7,838 : x
  2. Step 2: Convert to fraction form
    22,633.04/33,941.16 = 7,838/x
  3. Step 3: Cross multiply
    22,633.04x = 33,941.16 × 7,838
  4. Step 4: Simplify right side
    22,633.04x = 266,030,812.08
  5. Step 5: Solve for x
    x = 266,030,812.08/22,633.04
  6. Step 6: Final answer
    x = 11,754.09

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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.