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Finding the Fourth Proportional to 23,410.60, 35,117.82 and 7,828.36

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Solution

The fourth proportional to 23,410.60, 35,117.82 and 7,828.36 is: 11,743.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,410.60 : 35,117.82 = 7,828.36 : x
  2. Step 2: Convert to fraction form
    23,410.60/35,117.82 = 7,828.36/x
  3. Step 3: Cross multiply
    23,410.60x = 35,117.82 × 7,828.36
  4. Step 4: Simplify right side
    23,410.60x = 274,914,937.38
  5. Step 5: Solve for x
    x = 274,914,937.38/23,410.60
  6. Step 6: Final answer
    x = 11,743.18

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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.