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Finding the Fourth Proportional to 11,615.40, 17,423.10 and 9,865.80

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Solution

The fourth proportional to 11,615.40, 17,423.10 and 9,865.80 is: 14,798.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.40 : 17,423.10 = 9,865.80 : x
  2. Step 2: Convert to fraction form
    11,615.40/17,423.10 = 9,865.80/x
  3. Step 3: Cross multiply
    11,615.40x = 17,423.10 × 9,865.80
  4. Step 4: Simplify right side
    11,615.40x = 171,892,819.98
  5. Step 5: Solve for x
    x = 171,892,819.98/11,615.40
  6. Step 6: Final answer
    x = 14,798.70

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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.