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Finding the Fourth Proportional to 12,542.42, 18,814.03 and 4,646.90

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Solution

The fourth proportional to 12,542.42, 18,814.03 and 4,646.90 is: 6,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,542.42 : 18,814.03 = 4,646.90 : x
  2. Step 2: Convert to fraction form
    12,542.42/18,814.03 = 4,646.90/x
  3. Step 3: Cross multiply
    12,542.42x = 18,814.03 × 4,646.90
  4. Step 4: Simplify right side
    12,542.42x = 87,426,951.42
  5. Step 5: Solve for x
    x = 87,426,951.42/12,542.42
  6. Step 6: Final answer
    x = 6,970.50

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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.