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Finding the Fourth Proportional to 11,503.74, 17,271.45 and 9,165.18

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Solution

The fourth proportional to 11,503.74, 17,271.45 and 9,165.18 is: 13,760.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,503.74 : 17,271.45 = 9,165.18 : x
  2. Step 2: Convert to fraction form
    11,503.74/17,271.45 = 9,165.18/x
  3. Step 3: Cross multiply
    11,503.74x = 17,271.45 × 9,165.18
  4. Step 4: Simplify right side
    11,503.74x = 158,295,948.11
  5. Step 5: Solve for x
    x = 158,295,948.11/11,503.74
  6. Step 6: Final answer
    x = 13,760.39

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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.