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Finding the Fourth Proportional to 22,564.34, 33,809.52 and 15,978.70

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Solution

The fourth proportional to 22,564.34, 33,809.52 and 15,978.70 is: 23,941.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,564.34 : 33,809.52 = 15,978.70 : x
  2. Step 2: Convert to fraction form
    22,564.34/33,809.52 = 15,978.70/x
  3. Step 3: Cross multiply
    22,564.34x = 33,809.52 × 15,978.70
  4. Step 4: Simplify right side
    22,564.34x = 540,232,177.22
  5. Step 5: Solve for x
    x = 540,232,177.22/22,564.34
  6. Step 6: Final answer
    x = 23,941.86

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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.