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Finding the Fourth Proportional to 19,664.30, 29,515.65 and 9,814.70

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Solution

The fourth proportional to 19,664.30, 29,515.65 and 9,814.70 is: 14,731.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,664.30 : 29,515.65 = 9,814.70 : x
  2. Step 2: Convert to fraction form
    19,664.30/29,515.65 = 9,814.70/x
  3. Step 3: Cross multiply
    19,664.30x = 29,515.65 × 9,814.70
  4. Step 4: Simplify right side
    19,664.30x = 289,687,250.06
  5. Step 5: Solve for x
    x = 289,687,250.06/19,664.30
  6. Step 6: Final answer
    x = 14,731.63

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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.