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Finding the Fourth Proportional to 16,347.86, 22,561.70 and 9,635.64

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Solution

The fourth proportional to 16,347.86, 22,561.70 and 9,635.64 is: 13,298.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,347.86 : 22,561.70 = 9,635.64 : x
  2. Step 2: Convert to fraction form
    16,347.86/22,561.70 = 9,635.64/x
  3. Step 3: Cross multiply
    16,347.86x = 22,561.70 × 9,635.64
  4. Step 4: Simplify right side
    16,347.86x = 217,396,418.99
  5. Step 5: Solve for x
    x = 217,396,418.99/16,347.86
  6. Step 6: Final answer
    x = 13,298.16

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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.