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Finding the Fourth Proportional to 22,385.10, 30,888.06 and 12,823.50

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Solution

The fourth proportional to 22,385.10, 30,888.06 and 12,823.50 is: 17,694.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,385.10 : 30,888.06 = 12,823.50 : x
  2. Step 2: Convert to fraction form
    22,385.10/30,888.06 = 12,823.50/x
  3. Step 3: Cross multiply
    22,385.10x = 30,888.06 × 12,823.50
  4. Step 4: Simplify right side
    22,385.10x = 396,093,037.41
  5. Step 5: Solve for x
    x = 396,093,037.41/22,385.10
  6. Step 6: Final answer
    x = 17,694.49

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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.