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Finding the Fourth Proportional to 21,012.39, 31,522.05 and 6,972.57

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Solution

The fourth proportional to 21,012.39, 31,522.05 and 6,972.57 is: 10,460.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,012.39 : 31,522.05 = 6,972.57 : x
  2. Step 2: Convert to fraction form
    21,012.39/31,522.05 = 6,972.57/x
  3. Step 3: Cross multiply
    21,012.39x = 31,522.05 × 6,972.57
  4. Step 4: Simplify right side
    21,012.39x = 219,789,700.17
  5. Step 5: Solve for x
    x = 219,789,700.17/21,012.39
  6. Step 6: Final answer
    x = 10,460.00

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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.