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Finding the Fourth Proportional to 21,153.57, 31,696.98 and 7,808.20

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Solution

The fourth proportional to 21,153.57, 31,696.98 and 7,808.20 is: 11,699.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,153.57 : 31,696.98 = 7,808.20 : x
  2. Step 2: Convert to fraction form
    21,153.57/31,696.98 = 7,808.20/x
  3. Step 3: Cross multiply
    21,153.57x = 31,696.98 × 7,808.20
  4. Step 4: Simplify right side
    21,153.57x = 247,496,359.24
  5. Step 5: Solve for x
    x = 247,496,359.24/21,153.57
  6. Step 6: Final answer
    x = 11,699.98

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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.