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Finding the Fourth Proportional to 16,019.42, 22,106.58 and 9,308.84

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Solution

The fourth proportional to 16,019.42, 22,106.58 and 9,308.84 is: 12,846.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,019.42 : 22,106.58 = 9,308.84 : x
  2. Step 2: Convert to fraction form
    16,019.42/22,106.58 = 9,308.84/x
  3. Step 3: Cross multiply
    16,019.42x = 22,106.58 × 9,308.84
  4. Step 4: Simplify right side
    16,019.42x = 205,786,616.17
  5. Step 5: Solve for x
    x = 205,786,616.17/16,019.42
  6. Step 6: Final answer
    x = 12,846.07

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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.