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Finding the Fourth Proportional to 22,574.34, 33,793.47 and 12,154.50

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Solution

The fourth proportional to 22,574.34, 33,793.47 and 12,154.50 is: 18,195.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,574.34 : 33,793.47 = 12,154.50 : x
  2. Step 2: Convert to fraction form
    22,574.34/33,793.47 = 12,154.50/x
  3. Step 3: Cross multiply
    22,574.34x = 33,793.47 × 12,154.50
  4. Step 4: Simplify right side
    22,574.34x = 410,742,731.12
  5. Step 5: Solve for x
    x = 410,742,731.12/22,574.34
  6. Step 6: Final answer
    x = 18,195.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.