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Finding the Fourth Proportional to 12,831.14, 19,242.86 and 4,509.60

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Solution

The fourth proportional to 12,831.14, 19,242.86 and 4,509.60 is: 6,763.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,831.14 : 19,242.86 = 4,509.60 : x
  2. Step 2: Convert to fraction form
    12,831.14/19,242.86 = 4,509.60/x
  3. Step 3: Cross multiply
    12,831.14x = 19,242.86 × 4,509.60
  4. Step 4: Simplify right side
    12,831.14x = 86,777,578.91
  5. Step 5: Solve for x
    x = 86,777,578.91/12,831.14
  6. Step 6: Final answer
    x = 6,763.05

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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.