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Finding the Fourth Proportional to 14,455.86, 19,949.16 and 7,831.86

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Solution

The fourth proportional to 14,455.86, 19,949.16 and 7,831.86 is: 10,808.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,455.86 : 19,949.16 = 7,831.86 : x
  2. Step 2: Convert to fraction form
    14,455.86/19,949.16 = 7,831.86/x
  3. Step 3: Cross multiply
    14,455.86x = 19,949.16 × 7,831.86
  4. Step 4: Simplify right side
    14,455.86x = 156,239,028.24
  5. Step 5: Solve for x
    x = 156,239,028.24/14,455.86
  6. Step 6: Final answer
    x = 10,808.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.