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Finding the Fourth Proportional to 21,205.61, 31,809.94 and 6,415.69

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Solution

The fourth proportional to 21,205.61, 31,809.94 and 6,415.69 is: 9,623.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,205.61 : 31,809.94 = 6,415.69 : x
  2. Step 2: Convert to fraction form
    21,205.61/31,809.94 = 6,415.69/x
  3. Step 3: Cross multiply
    21,205.61x = 31,809.94 × 6,415.69
  4. Step 4: Simplify right side
    21,205.61x = 204,082,561.88
  5. Step 5: Solve for x
    x = 204,082,561.88/21,205.61
  6. Step 6: Final answer
    x = 9,623.99

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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.