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Finding the Fourth Proportional to 18,712.50, 25,823.30 and 10,329

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Solution

The fourth proportional to 18,712.50, 25,823.30 and 10,329 is: 14,254.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,712.50 : 25,823.30 = 10,329 : x
  2. Step 2: Convert to fraction form
    18,712.50/25,823.30 = 10,329/x
  3. Step 3: Cross multiply
    18,712.50x = 25,823.30 × 10,329
  4. Step 4: Simplify right side
    18,712.50x = 266,728,814.06
  5. Step 5: Solve for x
    x = 266,728,814.06/18,712.50
  6. Step 6: Final answer
    x = 14,254.04

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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.