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Finding the Fourth Proportional to 21,007.08, 31,500.90 and 7,859.16

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Solution

The fourth proportional to 21,007.08, 31,500.90 and 7,859.16 is: 11,785.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007.08 : 31,500.90 = 7,859.16 : x
  2. Step 2: Convert to fraction form
    21,007.08/31,500.90 = 7,859.16/x
  3. Step 3: Cross multiply
    21,007.08x = 31,500.90 × 7,859.16
  4. Step 4: Simplify right side
    21,007.08x = 247,570,613.24
  5. Step 5: Solve for x
    x = 247,570,613.24/21,007.08
  6. Step 6: Final answer
    x = 11,785.10

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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.