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Finding the Fourth Proportional to 15,814.22, 21,823.64 and 9,099.71

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Solution

The fourth proportional to 15,814.22, 21,823.64 and 9,099.71 is: 12,557.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814.22 : 21,823.64 = 9,099.71 : x
  2. Step 2: Convert to fraction form
    15,814.22/21,823.64 = 9,099.71/x
  3. Step 3: Cross multiply
    15,814.22x = 21,823.64 × 9,099.71
  4. Step 4: Simplify right side
    15,814.22x = 198,588,795.14
  5. Step 5: Solve for x
    x = 198,588,795.14/15,814.22
  6. Step 6: Final answer
    x = 12,557.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.