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Finding the Fourth Proportional to 12,342.70, 18,516.93 and 3,577.78

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Solution

The fourth proportional to 12,342.70, 18,516.93 and 3,577.78 is: 5,367.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,342.70 : 18,516.93 = 3,577.78 : x
  2. Step 2: Convert to fraction form
    12,342.70/18,516.93 = 3,577.78/x
  3. Step 3: Cross multiply
    12,342.70x = 18,516.93 × 3,577.78
  4. Step 4: Simplify right side
    12,342.70x = 66,249,501.82
  5. Step 5: Solve for x
    x = 66,249,501.82/12,342.70
  6. Step 6: Final answer
    x = 5,367.50

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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.