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Finding the Fourth Proportional to 12,624, 18,938.44 and 5,698.50

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Solution

The fourth proportional to 12,624, 18,938.44 and 5,698.50 is: 8,548.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,624 : 18,938.44 = 5,698.50 : x
  2. Step 2: Convert to fraction form
    12,624/18,938.44 = 5,698.50/x
  3. Step 3: Cross multiply
    12,624x = 18,938.44 × 5,698.50
  4. Step 4: Simplify right side
    12,624x = 107,920,700.34
  5. Step 5: Solve for x
    x = 107,920,700.34/12,624
  6. Step 6: Final answer
    x = 8,548.85

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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.