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Finding the Fourth Proportional to 19,646.48, 29,470.20 and 10,859.60

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Solution

The fourth proportional to 19,646.48, 29,470.20 and 10,859.60 is: 16,289.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,646.48 : 29,470.20 = 10,859.60 : x
  2. Step 2: Convert to fraction form
    19,646.48/29,470.20 = 10,859.60/x
  3. Step 3: Cross multiply
    19,646.48x = 29,470.20 × 10,859.60
  4. Step 4: Simplify right side
    19,646.48x = 320,034,583.92
  5. Step 5: Solve for x
    x = 320,034,583.92/19,646.48
  6. Step 6: Final answer
    x = 16,289.67

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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.