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Finding the Fourth Proportional to 17,858.61, 24,647.49 and 10,306.17

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Solution

The fourth proportional to 17,858.61, 24,647.49 and 10,306.17 is: 14,224.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,858.61 : 24,647.49 = 10,306.17 : x
  2. Step 2: Convert to fraction form
    17,858.61/24,647.49 = 10,306.17/x
  3. Step 3: Cross multiply
    17,858.61x = 24,647.49 × 10,306.17
  4. Step 4: Simplify right side
    17,858.61x = 254,021,222.01
  5. Step 5: Solve for x
    x = 254,021,222.01/17,858.61
  6. Step 6: Final answer
    x = 14,224.02

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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.