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Finding the Fourth Proportional to 14,700.82, 22,059.88 and 5,817

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Solution

The fourth proportional to 14,700.82, 22,059.88 and 5,817 is: 8,728.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,700.82 : 22,059.88 = 5,817 : x
  2. Step 2: Convert to fraction form
    14,700.82/22,059.88 = 5,817/x
  3. Step 3: Cross multiply
    14,700.82x = 22,059.88 × 5,817
  4. Step 4: Simplify right side
    14,700.82x = 128,322,321.96
  5. Step 5: Solve for x
    x = 128,322,321.96/14,700.82
  6. Step 6: Final answer
    x = 8,728.92

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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.