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Finding the Fourth Proportional to 20,887.19, 31,332.03 and 8,407.16

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Solution

The fourth proportional to 20,887.19, 31,332.03 and 8,407.16 is: 12,611.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,887.19 : 31,332.03 = 8,407.16 : x
  2. Step 2: Convert to fraction form
    20,887.19/31,332.03 = 8,407.16/x
  3. Step 3: Cross multiply
    20,887.19x = 31,332.03 × 8,407.16
  4. Step 4: Simplify right side
    20,887.19x = 263,413,389.33
  5. Step 5: Solve for x
    x = 263,413,389.33/20,887.19
  6. Step 6: Final answer
    x = 12,611.24

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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.