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Finding the Fourth Proportional to 20,061.70, 30,097.35 and 9,664.90

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Solution

The fourth proportional to 20,061.70, 30,097.35 and 9,664.90 is: 14,499.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,061.70 : 30,097.35 = 9,664.90 : x
  2. Step 2: Convert to fraction form
    20,061.70/30,097.35 = 9,664.90/x
  3. Step 3: Cross multiply
    20,061.70x = 30,097.35 × 9,664.90
  4. Step 4: Simplify right side
    20,061.70x = 290,887,878.02
  5. Step 5: Solve for x
    x = 290,887,878.02/20,061.70
  6. Step 6: Final answer
    x = 14,499.66

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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.