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Finding the Fourth Proportional to 23,805.90, 35,721 and 9,776.70

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Solution

The fourth proportional to 23,805.90, 35,721 and 9,776.70 is: 14,670.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,805.90 : 35,721 = 9,776.70 : x
  2. Step 2: Convert to fraction form
    23,805.90/35,721 = 9,776.70/x
  3. Step 3: Cross multiply
    23,805.90x = 35,721 × 9,776.70
  4. Step 4: Simplify right side
    23,805.90x = 349,233,500.70
  5. Step 5: Solve for x
    x = 349,233,500.70/23,805.90
  6. Step 6: Final answer
    x = 14,670.04

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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.