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Finding the Fourth Proportional to 22,461, 33,698.80 and 10,775.14

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Solution

The fourth proportional to 22,461, 33,698.80 and 10,775.14 is: 16,166.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,461 : 33,698.80 = 10,775.14 : x
  2. Step 2: Convert to fraction form
    22,461/33,698.80 = 10,775.14/x
  3. Step 3: Cross multiply
    22,461x = 33,698.80 × 10,775.14
  4. Step 4: Simplify right side
    22,461x = 363,109,287.83
  5. Step 5: Solve for x
    x = 363,109,287.83/22,461
  6. Step 6: Final answer
    x = 16,166.21

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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.