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Finding the Fourth Proportional to 19,732.92, 29,599.38 and 8,047.05

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Solution

The fourth proportional to 19,732.92, 29,599.38 and 8,047.05 is: 12,070.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,732.92 : 29,599.38 = 8,047.05 : x
  2. Step 2: Convert to fraction form
    19,732.92/29,599.38 = 8,047.05/x
  3. Step 3: Cross multiply
    19,732.92x = 29,599.38 × 8,047.05
  4. Step 4: Simplify right side
    19,732.92x = 238,187,690.83
  5. Step 5: Solve for x
    x = 238,187,690.83/19,732.92
  6. Step 6: Final answer
    x = 12,070.58

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1.5x scale

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.