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Finding the Fourth Proportional to 22,708.90, 31,339.02 and 14,208.31

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Solution

The fourth proportional to 22,708.90, 31,339.02 and 14,208.31 is: 19,607.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,708.90 : 31,339.02 = 14,208.31 : x
  2. Step 2: Convert to fraction form
    22,708.90/31,339.02 = 14,208.31/x
  3. Step 3: Cross multiply
    22,708.90x = 31,339.02 × 14,208.31
  4. Step 4: Simplify right side
    22,708.90x = 445,274,511.26
  5. Step 5: Solve for x
    x = 445,274,511.26/22,708.90
  6. Step 6: Final answer
    x = 19,607.93

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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.