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Finding the Fourth Proportional to 21,012.74, 31,521.57 and 6,974

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Solution

The fourth proportional to 21,012.74, 31,521.57 and 6,974 is: 10,461.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,012.74 : 31,521.57 = 6,974 : x
  2. Step 2: Convert to fraction form
    21,012.74/31,521.57 = 6,974/x
  3. Step 3: Cross multiply
    21,012.74x = 31,521.57 × 6,974
  4. Step 4: Simplify right side
    21,012.74x = 219,831,429.18
  5. Step 5: Solve for x
    x = 219,831,429.18/21,012.74
  6. Step 6: Final answer
    x = 10,461.82

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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.