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Finding the Fourth Proportional to 21,206.61, 31,811.44 and 6,416.69

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Solution

The fourth proportional to 21,206.61, 31,811.44 and 6,416.69 is: 9,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,206.61 : 31,811.44 = 6,416.69 : x
  2. Step 2: Convert to fraction form
    21,206.61/31,811.44 = 6,416.69/x
  3. Step 3: Cross multiply
    21,206.61x = 31,811.44 × 6,416.69
  4. Step 4: Simplify right side
    21,206.61x = 204,124,148.93
  5. Step 5: Solve for x
    x = 204,124,148.93/21,206.61
  6. Step 6: Final answer
    x = 9,625.50

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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.