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Finding the Fourth Proportional to 19,231.32, 28,831.02 and 8,146.68

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Solution

The fourth proportional to 19,231.32, 28,831.02 and 8,146.68 is: 12,213.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,231.32 : 28,831.02 = 8,146.68 : x
  2. Step 2: Convert to fraction form
    19,231.32/28,831.02 = 8,146.68/x
  3. Step 3: Cross multiply
    19,231.32x = 28,831.02 × 8,146.68
  4. Step 4: Simplify right side
    19,231.32x = 234,877,094.01
  5. Step 5: Solve for x
    x = 234,877,094.01/19,231.32
  6. Step 6: Final answer
    x = 12,213.26

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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.