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Finding the Fourth Proportional to 16,855.70, 25,298.12 and 6,474.74

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Solution

The fourth proportional to 16,855.70, 25,298.12 and 6,474.74 is: 9,717.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,855.70 : 25,298.12 = 6,474.74 : x
  2. Step 2: Convert to fraction form
    16,855.70/25,298.12 = 6,474.74/x
  3. Step 3: Cross multiply
    16,855.70x = 25,298.12 × 6,474.74
  4. Step 4: Simplify right side
    16,855.70x = 163,798,639.19
  5. Step 5: Solve for x
    x = 163,798,639.19/16,855.70
  6. Step 6: Final answer
    x = 9,717.70

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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.