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Finding the Fourth Proportional to 22,339.87, 30,827.80 and 12,269.63

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Solution

The fourth proportional to 22,339.87, 30,827.80 and 12,269.63 is: 16,931.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,339.87 : 30,827.80 = 12,269.63 : x
  2. Step 2: Convert to fraction form
    22,339.87/30,827.80 = 12,269.63/x
  3. Step 3: Cross multiply
    22,339.87x = 30,827.80 × 12,269.63
  4. Step 4: Simplify right side
    22,339.87x = 378,245,699.71
  5. Step 5: Solve for x
    x = 378,245,699.71/22,339.87
  6. Step 6: Final answer
    x = 16,931.42

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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.