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Finding the Fourth Proportional to 15,771.80, 23,641.74 and 10,228.67

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Solution

The fourth proportional to 15,771.80, 23,641.74 and 10,228.67 is: 15,332.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,771.80 : 23,641.74 = 10,228.67 : x
  2. Step 2: Convert to fraction form
    15,771.80/23,641.74 = 10,228.67/x
  3. Step 3: Cross multiply
    15,771.80x = 23,641.74 × 10,228.67
  4. Step 4: Simplify right side
    15,771.80x = 241,823,438.48
  5. Step 5: Solve for x
    x = 241,823,438.48/15,771.80
  6. Step 6: Final answer
    x = 15,332.65

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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.