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Finding the Fourth Proportional to 19,658.80, 29,507.40 and 9,809.20

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Solution

The fourth proportional to 19,658.80, 29,507.40 and 9,809.20 is: 14,723.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,658.80 : 29,507.40 = 9,809.20 : x
  2. Step 2: Convert to fraction form
    19,658.80/29,507.40 = 9,809.20/x
  3. Step 3: Cross multiply
    19,658.80x = 29,507.40 × 9,809.20
  4. Step 4: Simplify right side
    19,658.80x = 289,443,988.08
  5. Step 5: Solve for x
    x = 289,443,988.08/19,658.80
  6. Step 6: Final answer
    x = 14,723.38

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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.