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Finding the Fourth Proportional to 21,006.32, 31,510.92 and 6,965.72

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Solution

The fourth proportional to 21,006.32, 31,510.92 and 6,965.72 is: 10,449.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,006.32 : 31,510.92 = 6,965.72 : x
  2. Step 2: Convert to fraction form
    21,006.32/31,510.92 = 6,965.72/x
  3. Step 3: Cross multiply
    21,006.32x = 31,510.92 × 6,965.72
  4. Step 4: Simplify right side
    21,006.32x = 219,496,245.66
  5. Step 5: Solve for x
    x = 219,496,245.66/21,006.32
  6. Step 6: Final answer
    x = 10,449.06

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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.