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Finding the Fourth Proportional to 22,263.64, 33,395.46 and 9,943

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Solution

The fourth proportional to 22,263.64, 33,395.46 and 9,943 is: 14,914.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,263.64 : 33,395.46 = 9,943 : x
  2. Step 2: Convert to fraction form
    22,263.64/33,395.46 = 9,943/x
  3. Step 3: Cross multiply
    22,263.64x = 33,395.46 × 9,943
  4. Step 4: Simplify right side
    22,263.64x = 332,051,058.78
  5. Step 5: Solve for x
    x = 332,051,058.78/22,263.64
  6. Step 6: Final answer
    x = 14,914.50

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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.