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Finding the Fourth Proportional to 11,657.69, 16,097.07 and 9,504.55

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Solution

The fourth proportional to 11,657.69, 16,097.07 and 9,504.55 is: 13,123.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.69 : 16,097.07 = 9,504.55 : x
  2. Step 2: Convert to fraction form
    11,657.69/16,097.07 = 9,504.55/x
  3. Step 3: Cross multiply
    11,657.69x = 16,097.07 × 9,504.55
  4. Step 4: Simplify right side
    11,657.69x = 152,995,406.67
  5. Step 5: Solve for x
    x = 152,995,406.67/11,657.69
  6. Step 6: Final answer
    x = 13,123.99

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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.