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Finding the Fourth Proportional to 19,412.70, 29,133.51 and 14,426.55

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Solution

The fourth proportional to 19,412.70, 29,133.51 and 14,426.55 is: 21,650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,412.70 : 29,133.51 = 14,426.55 : x
  2. Step 2: Convert to fraction form
    19,412.70/29,133.51 = 14,426.55/x
  3. Step 3: Cross multiply
    19,412.70x = 29,133.51 × 14,426.55
  4. Step 4: Simplify right side
    19,412.70x = 420,296,038.69
  5. Step 5: Solve for x
    x = 420,296,038.69/19,412.70
  6. Step 6: Final answer
    x = 21,650.57

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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.