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Finding the Fourth Proportional to 21,004.11, 31,489.16 and 7,854.57

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Solution

The fourth proportional to 21,004.11, 31,489.16 and 7,854.57 is: 11,775.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,004.11 : 31,489.16 = 7,854.57 : x
  2. Step 2: Convert to fraction form
    21,004.11/31,489.16 = 7,854.57/x
  3. Step 3: Cross multiply
    21,004.11x = 31,489.16 × 7,854.57
  4. Step 4: Simplify right side
    21,004.11x = 247,333,772.19
  5. Step 5: Solve for x
    x = 247,333,772.19/21,004.11
  6. Step 6: Final answer
    x = 11,775.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.