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Finding the Fourth Proportional to 16,225.82, 24,342.78 and 4,538.95

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Solution

The fourth proportional to 16,225.82, 24,342.78 and 4,538.95 is: 6,809.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,225.82 : 24,342.78 = 4,538.95 : x
  2. Step 2: Convert to fraction form
    16,225.82/24,342.78 = 4,538.95/x
  3. Step 3: Cross multiply
    16,225.82x = 24,342.78 × 4,538.95
  4. Step 4: Simplify right side
    16,225.82x = 110,490,661.28
  5. Step 5: Solve for x
    x = 110,490,661.28/16,225.82
  6. Step 6: Final answer
    x = 6,809.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.