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Finding the Fourth Proportional to 12,225.20, 18,337.80 and 4,433

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Solution

The fourth proportional to 12,225.20, 18,337.80 and 4,433 is: 6,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.20 : 18,337.80 = 4,433 : x
  2. Step 2: Convert to fraction form
    12,225.20/18,337.80 = 4,433/x
  3. Step 3: Cross multiply
    12,225.20x = 18,337.80 × 4,433
  4. Step 4: Simplify right side
    12,225.20x = 81,291,467.40
  5. Step 5: Solve for x
    x = 81,291,467.40/12,225.20
  6. Step 6: Final answer
    x = 6,649.50

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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.