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Finding the Fourth Proportional to 19,692.65, 29,509.80 and 16,207.42

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Solution

The fourth proportional to 19,692.65, 29,509.80 and 16,207.42 is: 24,287.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,692.65 : 29,509.80 = 16,207.42 : x
  2. Step 2: Convert to fraction form
    19,692.65/29,509.80 = 16,207.42/x
  3. Step 3: Cross multiply
    19,692.65x = 29,509.80 × 16,207.42
  4. Step 4: Simplify right side
    19,692.65x = 478,277,722.72
  5. Step 5: Solve for x
    x = 478,277,722.72/19,692.65
  6. Step 6: Final answer
    x = 24,287.12

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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.