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Finding the Fourth Proportional to 21,097.16, 31,644.88 and 5,302.29

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Solution

The fourth proportional to 21,097.16, 31,644.88 and 5,302.29 is: 7,953.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,097.16 : 31,644.88 = 5,302.29 : x
  2. Step 2: Convert to fraction form
    21,097.16/31,644.88 = 5,302.29/x
  3. Step 3: Cross multiply
    21,097.16x = 31,644.88 × 5,302.29
  4. Step 4: Simplify right side
    21,097.16x = 167,790,436.19
  5. Step 5: Solve for x
    x = 167,790,436.19/21,097.16
  6. Step 6: Final answer
    x = 7,953.22

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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.