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Finding the Fourth Proportional to 20,389.12, 30,612 and 10,535.68

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Solution

The fourth proportional to 20,389.12, 30,612 and 10,535.68 is: 15,818.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,389.12 : 30,612 = 10,535.68 : x
  2. Step 2: Convert to fraction form
    20,389.12/30,612 = 10,535.68/x
  3. Step 3: Cross multiply
    20,389.12x = 30,612 × 10,535.68
  4. Step 4: Simplify right side
    20,389.12x = 322,518,236.16
  5. Step 5: Solve for x
    x = 322,518,236.16/20,389.12
  6. Step 6: Final answer
    x = 15,818.15

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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.