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Finding the Fourth Proportional to 21,364.67, 32,035.98 and 12,497.30

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Solution

The fourth proportional to 21,364.67, 32,035.98 and 12,497.30 is: 18,739.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,364.67 : 32,035.98 = 12,497.30 : x
  2. Step 2: Convert to fraction form
    21,364.67/32,035.98 = 12,497.30/x
  3. Step 3: Cross multiply
    21,364.67x = 32,035.98 × 12,497.30
  4. Step 4: Simplify right side
    21,364.67x = 400,363,092.67
  5. Step 5: Solve for x
    x = 400,363,092.67/21,364.67
  6. Step 6: Final answer
    x = 18,739.50

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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.