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Finding the Fourth Proportional to 13,582.32, 20,366.20 and 4,218.32

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Solution

The fourth proportional to 13,582.32, 20,366.20 and 4,218.32 is: 6,325.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,582.32 : 20,366.20 = 4,218.32 : x
  2. Step 2: Convert to fraction form
    13,582.32/20,366.20 = 4,218.32/x
  3. Step 3: Cross multiply
    13,582.32x = 20,366.20 × 4,218.32
  4. Step 4: Simplify right side
    13,582.32x = 85,911,148.78
  5. Step 5: Solve for x
    x = 85,911,148.78/13,582.32
  6. Step 6: Final answer
    x = 6,325.22

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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.