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Finding the Fourth Proportional to 20,032.40, 30,048.60 and 9,645.20

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Solution

The fourth proportional to 20,032.40, 30,048.60 and 9,645.20 is: 14,467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,032.40 : 30,048.60 = 9,645.20 : x
  2. Step 2: Convert to fraction form
    20,032.40/30,048.60 = 9,645.20/x
  3. Step 3: Cross multiply
    20,032.40x = 30,048.60 × 9,645.20
  4. Step 4: Simplify right side
    20,032.40x = 289,824,756.72
  5. Step 5: Solve for x
    x = 289,824,756.72/20,032.40
  6. Step 6: Final answer
    x = 14,467.80

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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.