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Finding the Fourth Proportional to 22,111.66, 33,167.42 and 8,964

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Solution

The fourth proportional to 22,111.66, 33,167.42 and 8,964 is: 13,445.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,111.66 : 33,167.42 = 8,964 : x
  2. Step 2: Convert to fraction form
    22,111.66/33,167.42 = 8,964/x
  3. Step 3: Cross multiply
    22,111.66x = 33,167.42 × 8,964
  4. Step 4: Simplify right side
    22,111.66x = 297,312,708.06
  5. Step 5: Solve for x
    x = 297,312,708.06/22,111.66
  6. Step 6: Final answer
    x = 13,445.97

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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.