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Finding the Fourth Proportional to 22,702.09, 31,333.77 and 14,323.45

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Solution

The fourth proportional to 22,702.09, 31,333.77 and 14,323.45 is: 19,769.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,702.09 : 31,333.77 = 14,323.45 : x
  2. Step 2: Convert to fraction form
    22,702.09/31,333.77 = 14,323.45/x
  3. Step 3: Cross multiply
    22,702.09x = 31,333.77 × 14,323.45
  4. Step 4: Simplify right side
    22,702.09x = 448,807,687.91
  5. Step 5: Solve for x
    x = 448,807,687.91/22,702.09
  6. Step 6: Final answer
    x = 19,769.44

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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.