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Finding the Fourth Proportional to 21,009.85, 31,515.33 and 6,970.88

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Solution

The fourth proportional to 21,009.85, 31,515.33 and 6,970.88 is: 10,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,009.85 : 31,515.33 = 6,970.88 : x
  2. Step 2: Convert to fraction form
    21,009.85/31,515.33 = 6,970.88/x
  3. Step 3: Cross multiply
    21,009.85x = 31,515.33 × 6,970.88
  4. Step 4: Simplify right side
    21,009.85x = 219,689,472.03
  5. Step 5: Solve for x
    x = 219,689,472.03/21,009.85
  6. Step 6: Final answer
    x = 10,456.50

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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.