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Finding the Fourth Proportional to 20,950.16, 31,425.08 and 9,094.19

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Solution

The fourth proportional to 20,950.16, 31,425.08 and 9,094.19 is: 13,641.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,950.16 : 31,425.08 = 9,094.19 : x
  2. Step 2: Convert to fraction form
    20,950.16/31,425.08 = 9,094.19/x
  3. Step 3: Cross multiply
    20,950.16x = 31,425.08 × 9,094.19
  4. Step 4: Simplify right side
    20,950.16x = 285,785,445.69
  5. Step 5: Solve for x
    x = 285,785,445.69/20,950.16
  6. Step 6: Final answer
    x = 13,641.21

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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.