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Finding the Fourth Proportional to 15,497.50, 21,389.94 and 10,192.80

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Solution

The fourth proportional to 15,497.50, 21,389.94 and 10,192.80 is: 14,068.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,497.50 : 21,389.94 = 10,192.80 : x
  2. Step 2: Convert to fraction form
    15,497.50/21,389.94 = 10,192.80/x
  3. Step 3: Cross multiply
    15,497.50x = 21,389.94 × 10,192.80
  4. Step 4: Simplify right side
    15,497.50x = 218,023,380.43
  5. Step 5: Solve for x
    x = 218,023,380.43/15,497.50
  6. Step 6: Final answer
    x = 14,068.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.