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Finding the Fourth Proportional to 21,034.16, 31,505.16 and 12,808.88

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Solution

The fourth proportional to 21,034.16, 31,505.16 and 12,808.88 is: 19,185.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,034.16 : 31,505.16 = 12,808.88 : x
  2. Step 2: Convert to fraction form
    21,034.16/31,505.16 = 12,808.88/x
  3. Step 3: Cross multiply
    21,034.16x = 31,505.16 × 12,808.88
  4. Step 4: Simplify right side
    21,034.16x = 403,545,813.82
  5. Step 5: Solve for x
    x = 403,545,813.82/21,034.16
  6. Step 6: Final answer
    x = 19,185.26

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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.