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Finding the Fourth Proportional to 19,807.80, 29,700.96 and 8,701.48

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Solution

The fourth proportional to 19,807.80, 29,700.96 and 8,701.48 is: 13,047.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,807.80 : 29,700.96 = 8,701.48 : x
  2. Step 2: Convert to fraction form
    19,807.80/29,700.96 = 8,701.48/x
  3. Step 3: Cross multiply
    19,807.80x = 29,700.96 × 8,701.48
  4. Step 4: Simplify right side
    19,807.80x = 258,442,309.42
  5. Step 5: Solve for x
    x = 258,442,309.42/19,807.80
  6. Step 6: Final answer
    x = 13,047.50

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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.