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Finding the Fourth Proportional to 22,970.09, 31,702.19 and 14,022.80

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Solution

The fourth proportional to 22,970.09, 31,702.19 and 14,022.80 is: 19,353.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,970.09 : 31,702.19 = 14,022.80 : x
  2. Step 2: Convert to fraction form
    22,970.09/31,702.19 = 14,022.80/x
  3. Step 3: Cross multiply
    22,970.09x = 31,702.19 × 14,022.80
  4. Step 4: Simplify right side
    22,970.09x = 444,553,241.31
  5. Step 5: Solve for x
    x = 444,553,241.31/22,970.09
  6. Step 6: Final answer
    x = 19,353.57

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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.