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Finding the Fourth Proportional to 12,831.66, 19,248.04 and 4,066.38

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Solution

The fourth proportional to 12,831.66, 19,248.04 and 4,066.38 is: 6,099.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.66 : 19,248.04 = 4,066.38 : x
  2. Step 2: Convert to fraction form
    12,831.66/19,248.04 = 4,066.38/x
  3. Step 3: Cross multiply
    12,831.66x = 19,248.04 × 4,066.38
  4. Step 4: Simplify right side
    12,831.66x = 78,269,844.90
  5. Step 5: Solve for x
    x = 78,269,844.90/12,831.66
  6. Step 6: Final answer
    x = 6,099.74

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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.