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Finding the Fourth Proportional to 12,831.60, 19,212.66 and 6,662.64

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Solution

The fourth proportional to 12,831.60, 19,212.66 and 6,662.64 is: 9,975.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.60 : 19,212.66 = 6,662.64 : x
  2. Step 2: Convert to fraction form
    12,831.60/19,212.66 = 6,662.64/x
  3. Step 3: Cross multiply
    12,831.60x = 19,212.66 × 6,662.64
  4. Step 4: Simplify right side
    12,831.60x = 128,007,037.02
  5. Step 5: Solve for x
    x = 128,007,037.02/12,831.60
  6. Step 6: Final answer
    x = 9,975.92

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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.