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Finding the Fourth Proportional to 20,872.68, 31,322.60 and 9,038.01

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Solution

The fourth proportional to 20,872.68, 31,322.60 and 9,038.01 is: 13,562.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,872.68 : 31,322.60 = 9,038.01 : x
  2. Step 2: Convert to fraction form
    20,872.68/31,322.60 = 9,038.01/x
  3. Step 3: Cross multiply
    20,872.68x = 31,322.60 × 9,038.01
  4. Step 4: Simplify right side
    20,872.68x = 283,094,005.14
  5. Step 5: Solve for x
    x = 283,094,005.14/20,872.68
  6. Step 6: Final answer
    x = 13,562.90

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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.