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Finding the Fourth Proportional to 14,292.27, 21,434.94 and 5,967.77

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Solution

The fourth proportional to 14,292.27, 21,434.94 and 5,967.77 is: 8,950.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,292.27 : 21,434.94 = 5,967.77 : x
  2. Step 2: Convert to fraction form
    14,292.27/21,434.94 = 5,967.77/x
  3. Step 3: Cross multiply
    14,292.27x = 21,434.94 × 5,967.77
  4. Step 4: Simplify right side
    14,292.27x = 127,918,684.71
  5. Step 5: Solve for x
    x = 127,918,684.71/14,292.27
  6. Step 6: Final answer
    x = 8,950.20

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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.