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Finding the Fourth Proportional to 12,235.76, 18,352.38 and 4,337

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Solution

The fourth proportional to 12,235.76, 18,352.38 and 4,337 is: 6,505.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,235.76 : 18,352.38 = 4,337 : x
  2. Step 2: Convert to fraction form
    12,235.76/18,352.38 = 4,337/x
  3. Step 3: Cross multiply
    12,235.76x = 18,352.38 × 4,337
  4. Step 4: Simplify right side
    12,235.76x = 79,594,272.06
  5. Step 5: Solve for x
    x = 79,594,272.06/12,235.76
  6. Step 6: Final answer
    x = 6,505.05

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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.