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Finding the Fourth Proportional to 23,409.60, 35,116.32 and 7,827.36

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Solution

The fourth proportional to 23,409.60, 35,116.32 and 7,827.36 is: 11,741.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,409.60 : 35,116.32 = 7,827.36 : x
  2. Step 2: Convert to fraction form
    23,409.60/35,116.32 = 7,827.36/x
  3. Step 3: Cross multiply
    23,409.60x = 35,116.32 × 7,827.36
  4. Step 4: Simplify right side
    23,409.60x = 274,868,078.52
  5. Step 5: Solve for x
    x = 274,868,078.52/23,409.60
  6. Step 6: Final answer
    x = 11,741.68

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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.