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Finding the Fourth Proportional to 23,633.64, 35,428.50 and 8,831.30

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Solution

The fourth proportional to 23,633.64, 35,428.50 and 8,831.30 is: 13,238.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,633.64 : 35,428.50 = 8,831.30 : x
  2. Step 2: Convert to fraction form
    23,633.64/35,428.50 = 8,831.30/x
  3. Step 3: Cross multiply
    23,633.64x = 35,428.50 × 8,831.30
  4. Step 4: Simplify right side
    23,633.64x = 312,879,534.91
  5. Step 5: Solve for x
    x = 312,879,534.91/23,633.64
  6. Step 6: Final answer
    x = 13,238.74

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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.