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Finding the Fourth Proportional to 22,807.96, 31,460.79 and 13,846.72

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Solution

The fourth proportional to 22,807.96, 31,460.79 and 13,846.72 is: 19,099.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,807.96 : 31,460.79 = 13,846.72 : x
  2. Step 2: Convert to fraction form
    22,807.96/31,460.79 = 13,846.72/x
  3. Step 3: Cross multiply
    22,807.96x = 31,460.79 × 13,846.72
  4. Step 4: Simplify right side
    22,807.96x = 435,628,750.11
  5. Step 5: Solve for x
    x = 435,628,750.11/22,807.96
  6. Step 6: Final answer
    x = 19,099.86

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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.