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Finding the Fourth Proportional to 15,610.86, 23,428.59 and 8,219.70

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Solution

The fourth proportional to 15,610.86, 23,428.59 and 8,219.70 is: 12,336.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,610.86 : 23,428.59 = 8,219.70 : x
  2. Step 2: Convert to fraction form
    15,610.86/23,428.59 = 8,219.70/x
  3. Step 3: Cross multiply
    15,610.86x = 23,428.59 × 8,219.70
  4. Step 4: Simplify right side
    15,610.86x = 192,575,981.22
  5. Step 5: Solve for x
    x = 192,575,981.22/15,610.86
  6. Step 6: Final answer
    x = 12,336.03

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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.