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Finding the Fourth Proportional to 21,009.50, 31,519.65 and 7,862.03

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Solution

The fourth proportional to 21,009.50, 31,519.65 and 7,862.03 is: 11,795.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,009.50 : 31,519.65 = 7,862.03 : x
  2. Step 2: Convert to fraction form
    21,009.50/31,519.65 = 7,862.03/x
  3. Step 3: Cross multiply
    21,009.50x = 31,519.65 × 7,862.03
  4. Step 4: Simplify right side
    21,009.50x = 247,808,433.89
  5. Step 5: Solve for x
    x = 247,808,433.89/21,009.50
  6. Step 6: Final answer
    x = 11,795.07

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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.