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Finding the Fourth Proportional to 22,520.50, 31,085.58 and 14,137

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Solution

The fourth proportional to 22,520.50, 31,085.58 and 14,137 is: 19,513.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,520.50 : 31,085.58 = 14,137 : x
  2. Step 2: Convert to fraction form
    22,520.50/31,085.58 = 14,137/x
  3. Step 3: Cross multiply
    22,520.50x = 31,085.58 × 14,137
  4. Step 4: Simplify right side
    22,520.50x = 439,456,844.46
  5. Step 5: Solve for x
    x = 439,456,844.46/22,520.50
  6. Step 6: Final answer
    x = 19,513.64

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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.