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Finding the Fourth Proportional to 20,521.68, 30,801.96 and 10,140.72

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Solution

The fourth proportional to 20,521.68, 30,801.96 and 10,140.72 is: 15,220.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,521.68 : 30,801.96 = 10,140.72 : x
  2. Step 2: Convert to fraction form
    20,521.68/30,801.96 = 10,140.72/x
  3. Step 3: Cross multiply
    20,521.68x = 30,801.96 × 10,140.72
  4. Step 4: Simplify right side
    20,521.68x = 312,354,051.81
  5. Step 5: Solve for x
    x = 312,354,051.81/20,521.68
  6. Step 6: Final answer
    x = 15,220.69

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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.