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Finding the Fourth Proportional to 21,098.10, 31,647.15 and 7,953.42

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Solution

The fourth proportional to 21,098.10, 31,647.15 and 7,953.42 is: 11,930.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,098.10 : 31,647.15 = 7,953.42 : x
  2. Step 2: Convert to fraction form
    21,098.10/31,647.15 = 7,953.42/x
  3. Step 3: Cross multiply
    21,098.10x = 31,647.15 × 7,953.42
  4. Step 4: Simplify right side
    21,098.10x = 251,703,075.75
  5. Step 5: Solve for x
    x = 251,703,075.75/21,098.10
  6. Step 6: Final answer
    x = 11,930.13

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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.