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Finding the Fourth Proportional to 16,322.96, 22,526.16 and 9,249.14

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Solution

The fourth proportional to 16,322.96, 22,526.16 and 9,249.14 is: 12,764.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,322.96 : 22,526.16 = 9,249.14 : x
  2. Step 2: Convert to fraction form
    16,322.96/22,526.16 = 9,249.14/x
  3. Step 3: Cross multiply
    16,322.96x = 22,526.16 × 9,249.14
  4. Step 4: Simplify right side
    16,322.96x = 208,347,607.50
  5. Step 5: Solve for x
    x = 208,347,607.50/16,322.96
  6. Step 6: Final answer
    x = 12,764.08

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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.