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Finding the Fourth Proportional to 22,177.48, 33,266.22 and 12,937

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Solution

The fourth proportional to 22,177.48, 33,266.22 and 12,937 is: 19,405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,177.48 : 33,266.22 = 12,937 : x
  2. Step 2: Convert to fraction form
    22,177.48/33,266.22 = 12,937/x
  3. Step 3: Cross multiply
    22,177.48x = 33,266.22 × 12,937
  4. Step 4: Simplify right side
    22,177.48x = 430,365,088.14
  5. Step 5: Solve for x
    x = 430,365,088.14/22,177.48
  6. Step 6: Final answer
    x = 19,405.50

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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.