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Finding the Fourth Proportional to 16,552.95, 22,846.11 and 9,842.50

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Solution

The fourth proportional to 16,552.95, 22,846.11 and 9,842.50 is: 13,584.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,552.95 : 22,846.11 = 9,842.50 : x
  2. Step 2: Convert to fraction form
    16,552.95/22,846.11 = 9,842.50/x
  3. Step 3: Cross multiply
    16,552.95x = 22,846.11 × 9,842.50
  4. Step 4: Simplify right side
    16,552.95x = 224,862,837.68
  5. Step 5: Solve for x
    x = 224,862,837.68/16,552.95
  6. Step 6: Final answer
    x = 13,584.46

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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.