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Finding the Fourth Proportional to 19,809, 29,720.12 and 6,482.60

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Solution

The fourth proportional to 19,809, 29,720.12 and 6,482.60 is: 9,726.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,809 : 29,720.12 = 6,482.60 : x
  2. Step 2: Convert to fraction form
    19,809/29,720.12 = 6,482.60/x
  3. Step 3: Cross multiply
    19,809x = 29,720.12 × 6,482.60
  4. Step 4: Simplify right side
    19,809x = 192,663,649.91
  5. Step 5: Solve for x
    x = 192,663,649.91/19,809
  6. Step 6: Final answer
    x = 9,726.07

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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.