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Finding the Fourth Proportional to 16,574.16, 24,865.60 and 6,186

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Solution

The fourth proportional to 16,574.16, 24,865.60 and 6,186 is: 9,280.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,574.16 : 24,865.60 = 6,186 : x
  2. Step 2: Convert to fraction form
    16,574.16/24,865.60 = 6,186/x
  3. Step 3: Cross multiply
    16,574.16x = 24,865.60 × 6,186
  4. Step 4: Simplify right side
    16,574.16x = 153,818,601.60
  5. Step 5: Solve for x
    x = 153,818,601.60/16,574.16
  6. Step 6: Final answer
    x = 9,280.63

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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.