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Finding the Fourth Proportional to 16,597.95, 24,896.25 and 4,118.01

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Solution

The fourth proportional to 16,597.95, 24,896.25 and 4,118.01 is: 6,176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,597.95 : 24,896.25 = 4,118.01 : x
  2. Step 2: Convert to fraction form
    16,597.95/24,896.25 = 4,118.01/x
  3. Step 3: Cross multiply
    16,597.95x = 24,896.25 × 4,118.01
  4. Step 4: Simplify right side
    16,597.95x = 102,523,006.46
  5. Step 5: Solve for x
    x = 102,523,006.46/16,597.95
  6. Step 6: Final answer
    x = 6,176.85

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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.