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Finding the Fourth Proportional to 22,564.98, 31,138.49 and 12,493.24

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Solution

The fourth proportional to 22,564.98, 31,138.49 and 12,493.24 is: 17,240.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,564.98 : 31,138.49 = 12,493.24 : x
  2. Step 2: Convert to fraction form
    22,564.98/31,138.49 = 12,493.24/x
  3. Step 3: Cross multiply
    22,564.98x = 31,138.49 × 12,493.24
  4. Step 4: Simplify right side
    22,564.98x = 389,020,582.19
  5. Step 5: Solve for x
    x = 389,020,582.19/22,564.98
  6. Step 6: Final answer
    x = 17,240.01

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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.