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Finding the Fourth Proportional to 12,756.68, 19,130.46 and 4,434.68

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Solution

The fourth proportional to 12,756.68, 19,130.46 and 4,434.68 is: 6,650.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,756.68 : 19,130.46 = 4,434.68 : x
  2. Step 2: Convert to fraction form
    12,756.68/19,130.46 = 4,434.68/x
  3. Step 3: Cross multiply
    12,756.68x = 19,130.46 × 4,434.68
  4. Step 4: Simplify right side
    12,756.68x = 84,837,468.35
  5. Step 5: Solve for x
    x = 84,837,468.35/12,756.68
  6. Step 6: Final answer
    x = 6,650.43

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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.