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Finding the Fourth Proportional to 23,444.64, 35,166.96 and 7,862.22

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Solution

The fourth proportional to 23,444.64, 35,166.96 and 7,862.22 is: 11,793.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,444.64 : 35,166.96 = 7,862.22 : x
  2. Step 2: Convert to fraction form
    23,444.64/35,166.96 = 7,862.22/x
  3. Step 3: Cross multiply
    23,444.64x = 35,166.96 × 7,862.22
  4. Step 4: Simplify right side
    23,444.64x = 276,490,376.25
  5. Step 5: Solve for x
    x = 276,490,376.25/23,444.64
  6. Step 6: Final answer
    x = 11,793.33

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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.