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Finding the Fourth Proportional to 12,831.92, 19,246.64 and 8,698.50

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Solution

The fourth proportional to 12,831.92, 19,246.64 and 8,698.50 is: 13,046.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.92 : 19,246.64 = 8,698.50 : x
  2. Step 2: Convert to fraction form
    12,831.92/19,246.64 = 8,698.50/x
  3. Step 3: Cross multiply
    12,831.92x = 19,246.64 × 8,698.50
  4. Step 4: Simplify right side
    12,831.92x = 167,416,898.04
  5. Step 5: Solve for x
    x = 167,416,898.04/12,831.92
  6. Step 6: Final answer
    x = 13,046.91

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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.