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Finding the Fourth Proportional to 19,807.38, 29,713.50 and 9,271.98

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Solution

The fourth proportional to 19,807.38, 29,713.50 and 9,271.98 is: 13,909.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,807.38 : 29,713.50 = 9,271.98 : x
  2. Step 2: Convert to fraction form
    19,807.38/29,713.50 = 9,271.98/x
  3. Step 3: Cross multiply
    19,807.38x = 29,713.50 × 9,271.98
  4. Step 4: Simplify right side
    19,807.38x = 275,502,977.73
  5. Step 5: Solve for x
    x = 275,502,977.73/19,807.38
  6. Step 6: Final answer
    x = 13,909.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.