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Finding the Fourth Proportional to 22,488.41, 31,033.19 and 12,416.63

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Solution

The fourth proportional to 22,488.41, 31,033.19 and 12,416.63 is: 17,134.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,488.41 : 31,033.19 = 12,416.63 : x
  2. Step 2: Convert to fraction form
    22,488.41/31,033.19 = 12,416.63/x
  3. Step 3: Cross multiply
    22,488.41x = 31,033.19 × 12,416.63
  4. Step 4: Simplify right side
    22,488.41x = 385,327,771.57
  5. Step 5: Solve for x
    x = 385,327,771.57/22,488.41
  6. Step 6: Final answer
    x = 17,134.51

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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.