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Finding the Fourth Proportional to 17,641.64, 26,446.06 and 5,946.66

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Solution

The fourth proportional to 17,641.64, 26,446.06 and 5,946.66 is: 8,914.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,641.64 : 26,446.06 = 5,946.66 : x
  2. Step 2: Convert to fraction form
    17,641.64/26,446.06 = 5,946.66/x
  3. Step 3: Cross multiply
    17,641.64x = 26,446.06 × 5,946.66
  4. Step 4: Simplify right side
    17,641.64x = 157,265,712.29
  5. Step 5: Solve for x
    x = 157,265,712.29/17,641.64
  6. Step 6: Final answer
    x = 8,914.46

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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.