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Finding the Fourth Proportional to 12,499.44, 18,778.32 and 7,308.96

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Solution

The fourth proportional to 12,499.44, 18,778.32 and 7,308.96 is: 10,980.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,499.44 : 18,778.32 = 7,308.96 : x
  2. Step 2: Convert to fraction form
    12,499.44/18,778.32 = 7,308.96/x
  3. Step 3: Cross multiply
    12,499.44x = 18,778.32 × 7,308.96
  4. Step 4: Simplify right side
    12,499.44x = 137,249,989.75
  5. Step 5: Solve for x
    x = 137,249,989.75/12,499.44
  6. Step 6: Final answer
    x = 10,980.49

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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.