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Finding the Fourth Proportional to 17,047.61, 23,532.98 and 11,461.85

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Solution

The fourth proportional to 17,047.61, 23,532.98 and 11,461.85 is: 15,822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,047.61 : 23,532.98 = 11,461.85 : x
  2. Step 2: Convert to fraction form
    17,047.61/23,532.98 = 11,461.85/x
  3. Step 3: Cross multiply
    17,047.61x = 23,532.98 × 11,461.85
  4. Step 4: Simplify right side
    17,047.61x = 269,731,311.84
  5. Step 5: Solve for x
    x = 269,731,311.84/17,047.61
  6. Step 6: Final answer
    x = 15,822.24

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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.