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Finding the Fourth Proportional to 21,005.87, 31,498.08 and 6,960.89

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Solution

The fourth proportional to 21,005.87, 31,498.08 and 6,960.89 is: 10,437.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,005.87 : 31,498.08 = 6,960.89 : x
  2. Step 2: Convert to fraction form
    21,005.87/31,498.08 = 6,960.89/x
  3. Step 3: Cross multiply
    21,005.87x = 31,498.08 × 6,960.89
  4. Step 4: Simplify right side
    21,005.87x = 219,254,584.71
  5. Step 5: Solve for x
    x = 219,254,584.71/21,005.87
  6. Step 6: Final answer
    x = 10,437.78

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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.