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Finding the Fourth Proportional to 22,762.44, 31,394.36 and 14,807.21

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Solution

The fourth proportional to 22,762.44, 31,394.36 and 14,807.21 is: 20,422.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,762.44 : 31,394.36 = 14,807.21 : x
  2. Step 2: Convert to fraction form
    22,762.44/31,394.36 = 14,807.21/x
  3. Step 3: Cross multiply
    22,762.44x = 31,394.36 × 14,807.21
  4. Step 4: Simplify right side
    22,762.44x = 464,862,761.38
  5. Step 5: Solve for x
    x = 464,862,761.38/22,762.44
  6. Step 6: Final answer
    x = 20,422.36

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Why These Related Problems?

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