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Finding the Fourth Proportional to 22,585.50, 33,882.03 and 7,000.02

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Solution

The fourth proportional to 22,585.50, 33,882.03 and 7,000.02 is: 10,501.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,585.50 : 33,882.03 = 7,000.02 : x
  2. Step 2: Convert to fraction form
    22,585.50/33,882.03 = 7,000.02/x
  3. Step 3: Cross multiply
    22,585.50x = 33,882.03 × 7,000.02
  4. Step 4: Simplify right side
    22,585.50x = 237,174,887.64
  5. Step 5: Solve for x
    x = 237,174,887.64/22,585.50
  6. Step 6: Final answer
    x = 10,501.20

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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.