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Finding the Fourth Proportional to 14,464.12, 21,696.18 and 5,699.92

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Solution

The fourth proportional to 14,464.12, 21,696.18 and 5,699.92 is: 8,549.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,464.12 : 21,696.18 = 5,699.92 : x
  2. Step 2: Convert to fraction form
    14,464.12/21,696.18 = 5,699.92/x
  3. Step 3: Cross multiply
    14,464.12x = 21,696.18 × 5,699.92
  4. Step 4: Simplify right side
    14,464.12x = 123,666,490.31
  5. Step 5: Solve for x
    x = 123,666,490.31/14,464.12
  6. Step 6: Final answer
    x = 8,549.88

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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.