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Finding the Fourth Proportional to 22,106.54, 30,507.75 and 12,035.40

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Solution

The fourth proportional to 22,106.54, 30,507.75 and 12,035.40 is: 16,609.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,106.54 : 30,507.75 = 12,035.40 : x
  2. Step 2: Convert to fraction form
    22,106.54/30,507.75 = 12,035.40/x
  3. Step 3: Cross multiply
    22,106.54x = 30,507.75 × 12,035.40
  4. Step 4: Simplify right side
    22,106.54x = 367,172,974.35
  5. Step 5: Solve for x
    x = 367,172,974.35/22,106.54
  6. Step 6: Final answer
    x = 16,609.25

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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.