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Finding the Fourth Proportional to 21,605.83, 32,407.66 and 8,460.61

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Solution

The fourth proportional to 21,605.83, 32,407.66 and 8,460.61 is: 12,690.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,605.83 : 32,407.66 = 8,460.61 : x
  2. Step 2: Convert to fraction form
    21,605.83/32,407.66 = 8,460.61/x
  3. Step 3: Cross multiply
    21,605.83x = 32,407.66 × 8,460.61
  4. Step 4: Simplify right side
    21,605.83x = 274,188,572.27
  5. Step 5: Solve for x
    x = 274,188,572.27/21,605.83
  6. Step 6: Final answer
    x = 12,690.49

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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.