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Finding the Fourth Proportional to 22,974.54, 31,703.10 and 12,899.76

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Solution

The fourth proportional to 22,974.54, 31,703.10 and 12,899.76 is: 17,800.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,974.54 : 31,703.10 = 12,899.76 : x
  2. Step 2: Convert to fraction form
    22,974.54/31,703.10 = 12,899.76/x
  3. Step 3: Cross multiply
    22,974.54x = 31,703.10 × 12,899.76
  4. Step 4: Simplify right side
    22,974.54x = 408,962,381.26
  5. Step 5: Solve for x
    x = 408,962,381.26/22,974.54
  6. Step 6: Final answer
    x = 17,800.68

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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.