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Finding the Fourth Proportional to 16,705.68, 25,056 and 5,611.92

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Solution

The fourth proportional to 16,705.68, 25,056 and 5,611.92 is: 8,417.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,705.68 : 25,056 = 5,611.92 : x
  2. Step 2: Convert to fraction form
    16,705.68/25,056 = 5,611.92/x
  3. Step 3: Cross multiply
    16,705.68x = 25,056 × 5,611.92
  4. Step 4: Simplify right side
    16,705.68x = 140,612,267.52
  5. Step 5: Solve for x
    x = 140,612,267.52/16,705.68
  6. Step 6: Final answer
    x = 8,417.03

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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.