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Finding the Fourth Proportional to 13,171.50, 18,176.67 and 7,585.74

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Solution

The fourth proportional to 13,171.50, 18,176.67 and 7,585.74 is: 10,468.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,171.50 : 18,176.67 = 7,585.74 : x
  2. Step 2: Convert to fraction form
    13,171.50/18,176.67 = 7,585.74/x
  3. Step 3: Cross multiply
    13,171.50x = 18,176.67 × 7,585.74
  4. Step 4: Simplify right side
    13,171.50x = 137,883,492.69
  5. Step 5: Solve for x
    x = 137,883,492.69/13,171.50
  6. Step 6: Final answer
    x = 10,468.32

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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.