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Finding the Fourth Proportional to 21,097.16, 31,647.90 and 7,960.58

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Solution

The fourth proportional to 21,097.16, 31,647.90 and 7,960.58 is: 11,941.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,097.16 : 31,647.90 = 7,960.58 : x
  2. Step 2: Convert to fraction form
    21,097.16/31,647.90 = 7,960.58/x
  3. Step 3: Cross multiply
    21,097.16x = 31,647.90 × 7,960.58
  4. Step 4: Simplify right side
    21,097.16x = 251,935,639.78
  5. Step 5: Solve for x
    x = 251,935,639.78/21,097.16
  6. Step 6: Final answer
    x = 11,941.69

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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.