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Finding the Fourth Proportional to 15,778.86, 23,668.29 and 9,920.94

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Solution

The fourth proportional to 15,778.86, 23,668.29 and 9,920.94 is: 14,881.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,778.86 : 23,668.29 = 9,920.94 : x
  2. Step 2: Convert to fraction form
    15,778.86/23,668.29 = 9,920.94/x
  3. Step 3: Cross multiply
    15,778.86x = 23,668.29 × 9,920.94
  4. Step 4: Simplify right side
    15,778.86x = 234,811,684.99
  5. Step 5: Solve for x
    x = 234,811,684.99/15,778.86
  6. Step 6: Final answer
    x = 14,881.41

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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.