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Finding the Fourth Proportional to 12,023.02, 16,592.61 and 7,831.27

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Solution

The fourth proportional to 12,023.02, 16,592.61 and 7,831.27 is: 10,807.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.02 : 16,592.61 = 7,831.27 : x
  2. Step 2: Convert to fraction form
    12,023.02/16,592.61 = 7,831.27/x
  3. Step 3: Cross multiply
    12,023.02x = 16,592.61 × 7,831.27
  4. Step 4: Simplify right side
    12,023.02x = 129,941,208.91
  5. Step 5: Solve for x
    x = 129,941,208.91/12,023.02
  6. Step 6: Final answer
    x = 10,807.70

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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.