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Finding the Fourth Proportional to 22,522.48, 33,783.80 and 13,282

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Solution

The fourth proportional to 22,522.48, 33,783.80 and 13,282 is: 19,923.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,522.48 : 33,783.80 = 13,282 : x
  2. Step 2: Convert to fraction form
    22,522.48/33,783.80 = 13,282/x
  3. Step 3: Cross multiply
    22,522.48x = 33,783.80 × 13,282
  4. Step 4: Simplify right side
    22,522.48x = 448,716,431.60
  5. Step 5: Solve for x
    x = 448,716,431.60/22,522.48
  6. Step 6: Final answer
    x = 19,923.05

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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.