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Finding the Fourth Proportional to 21,068.68, 31,601.76 and 9,222.16

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Solution

The fourth proportional to 21,068.68, 31,601.76 and 9,222.16 is: 13,832.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,068.68 : 31,601.76 = 9,222.16 : x
  2. Step 2: Convert to fraction form
    21,068.68/31,601.76 = 9,222.16/x
  3. Step 3: Cross multiply
    21,068.68x = 31,601.76 × 9,222.16
  4. Step 4: Simplify right side
    21,068.68x = 291,436,487.00
  5. Step 5: Solve for x
    x = 291,436,487.00/21,068.68
  6. Step 6: Final answer
    x = 13,832.69

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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.