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Finding the Fourth Proportional to 15,674.16, 23,508.66 and 5,811.12

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Solution

The fourth proportional to 15,674.16, 23,508.66 and 5,811.12 is: 8,715.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,674.16 : 23,508.66 = 5,811.12 : x
  2. Step 2: Convert to fraction form
    15,674.16/23,508.66 = 5,811.12/x
  3. Step 3: Cross multiply
    15,674.16x = 23,508.66 × 5,811.12
  4. Step 4: Simplify right side
    15,674.16x = 136,611,644.30
  5. Step 5: Solve for x
    x = 136,611,644.30/15,674.16
  6. Step 6: Final answer
    x = 8,715.72

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Why These Related Problems?

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