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Finding the Fourth Proportional to 19,808.80, 29,702.46 and 8,702.48

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Solution

The fourth proportional to 19,808.80, 29,702.46 and 8,702.48 is: 13,049.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,808.80 : 29,702.46 = 8,702.48 : x
  2. Step 2: Convert to fraction form
    19,808.80/29,702.46 = 8,702.48/x
  3. Step 3: Cross multiply
    19,808.80x = 29,702.46 × 8,702.48
  4. Step 4: Simplify right side
    19,808.80x = 258,485,064.10
  5. Step 5: Solve for x
    x = 258,485,064.10/19,808.80
  6. Step 6: Final answer
    x = 13,049.00

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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.