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Finding the Fourth Proportional to 22,897.46, 34,287.87 and 11,180

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Solution

The fourth proportional to 22,897.46, 34,287.87 and 11,180 is: 16,741.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,897.46 : 34,287.87 = 11,180 : x
  2. Step 2: Convert to fraction form
    22,897.46/34,287.87 = 11,180/x
  3. Step 3: Cross multiply
    22,897.46x = 34,287.87 × 11,180
  4. Step 4: Simplify right side
    22,897.46x = 383,338,386.60
  5. Step 5: Solve for x
    x = 383,338,386.60/22,897.46
  6. Step 6: Final answer
    x = 16,741.52

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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.