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Finding the Fourth Proportional to 23,451.60, 35,165.40 and 7,646.48

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Solution

The fourth proportional to 23,451.60, 35,165.40 and 7,646.48 is: 11,465.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,451.60 : 35,165.40 = 7,646.48 : x
  2. Step 2: Convert to fraction form
    23,451.60/35,165.40 = 7,646.48/x
  3. Step 3: Cross multiply
    23,451.60x = 35,165.40 × 7,646.48
  4. Step 4: Simplify right side
    23,451.60x = 268,891,527.79
  5. Step 5: Solve for x
    x = 268,891,527.79/23,451.60
  6. Step 6: Final answer
    x = 11,465.81

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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.