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Finding the Fourth Proportional to 22,757.94, 31,408.02 and 13,807.71

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Solution

The fourth proportional to 22,757.94, 31,408.02 and 13,807.71 is: 19,055.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,757.94 : 31,408.02 = 13,807.71 : x
  2. Step 2: Convert to fraction form
    22,757.94/31,408.02 = 13,807.71/x
  3. Step 3: Cross multiply
    22,757.94x = 31,408.02 × 13,807.71
  4. Step 4: Simplify right side
    22,757.94x = 433,672,831.83
  5. Step 5: Solve for x
    x = 433,672,831.83/22,757.94
  6. Step 6: Final answer
    x = 19,055.89

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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.