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Finding the Fourth Proportional to 15,842.69, 21,861.41 and 9,468.01

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Solution

The fourth proportional to 15,842.69, 21,861.41 and 9,468.01 is: 13,064.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,842.69 : 21,861.41 = 9,468.01 : x
  2. Step 2: Convert to fraction form
    15,842.69/21,861.41 = 9,468.01/x
  3. Step 3: Cross multiply
    15,842.69x = 21,861.41 × 9,468.01
  4. Step 4: Simplify right side
    15,842.69x = 206,983,993.84
  5. Step 5: Solve for x
    x = 206,983,993.84/15,842.69
  6. Step 6: Final answer
    x = 13,064.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.