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Finding the Fourth Proportional to 22,472.63, 31,010.41 and 12,909.50

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Solution

The fourth proportional to 22,472.63, 31,010.41 and 12,909.50 is: 17,814.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472.63 : 31,010.41 = 12,909.50 : x
  2. Step 2: Convert to fraction form
    22,472.63/31,010.41 = 12,909.50/x
  3. Step 3: Cross multiply
    22,472.63x = 31,010.41 × 12,909.50
  4. Step 4: Simplify right side
    22,472.63x = 400,328,887.90
  5. Step 5: Solve for x
    x = 400,328,887.90/22,472.63
  6. Step 6: Final answer
    x = 17,814.06

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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.