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Finding the Fourth Proportional to 11,688.60, 17,532.90 and 8,189.40

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Solution

The fourth proportional to 11,688.60, 17,532.90 and 8,189.40 is: 12,284.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,688.60 : 17,532.90 = 8,189.40 : x
  2. Step 2: Convert to fraction form
    11,688.60/17,532.90 = 8,189.40/x
  3. Step 3: Cross multiply
    11,688.60x = 17,532.90 × 8,189.40
  4. Step 4: Simplify right side
    11,688.60x = 143,583,931.26
  5. Step 5: Solve for x
    x = 143,583,931.26/11,688.60
  6. Step 6: Final answer
    x = 12,284.10

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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.