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Finding the Fourth Proportional to 22,506.47, 33,780.88 and 11,421.11

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Solution

The fourth proportional to 22,506.47, 33,780.88 and 11,421.11 is: 17,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,506.47 : 33,780.88 = 11,421.11 : x
  2. Step 2: Convert to fraction form
    22,506.47/33,780.88 = 11,421.11/x
  3. Step 3: Cross multiply
    22,506.47x = 33,780.88 × 11,421.11
  4. Step 4: Simplify right side
    22,506.47x = 385,814,977.47
  5. Step 5: Solve for x
    x = 385,814,977.47/22,506.47
  6. Step 6: Final answer
    x = 17,142.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.