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Finding the Fourth Proportional to 21,970.50, 32,891.13 and 13,623.72

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Solution

The fourth proportional to 21,970.50, 32,891.13 and 13,623.72 is: 20,395.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,970.50 : 32,891.13 = 13,623.72 : x
  2. Step 2: Convert to fraction form
    21,970.50/32,891.13 = 13,623.72/x
  3. Step 3: Cross multiply
    21,970.50x = 32,891.13 × 13,623.72
  4. Step 4: Simplify right side
    21,970.50x = 448,099,545.60
  5. Step 5: Solve for x
    x = 448,099,545.60/21,970.50
  6. Step 6: Final answer
    x = 20,395.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.