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Finding the Fourth Proportional to 22,272.56, 33,401.16 and 7,477.94

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Solution

The fourth proportional to 22,272.56, 33,401.16 and 7,477.94 is: 11,214.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,272.56 : 33,401.16 = 7,477.94 : x
  2. Step 2: Convert to fraction form
    22,272.56/33,401.16 = 7,477.94/x
  3. Step 3: Cross multiply
    22,272.56x = 33,401.16 × 7,477.94
  4. Step 4: Simplify right side
    22,272.56x = 249,771,870.41
  5. Step 5: Solve for x
    x = 249,771,870.41/22,272.56
  6. Step 6: Final answer
    x = 11,214.33

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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.