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Finding the Fourth Proportional to 16,095.68, 22,212.24 and 9,808.64

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Solution

The fourth proportional to 16,095.68, 22,212.24 and 9,808.64 is: 13,536.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,095.68 : 22,212.24 = 9,808.64 : x
  2. Step 2: Convert to fraction form
    16,095.68/22,212.24 = 9,808.64/x
  3. Step 3: Cross multiply
    16,095.68x = 22,212.24 × 9,808.64
  4. Step 4: Simplify right side
    16,095.68x = 217,871,865.75
  5. Step 5: Solve for x
    x = 217,871,865.75/16,095.68
  6. Step 6: Final answer
    x = 13,536.05

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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.