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Finding the Fourth Proportional to 13,311.60, 19,967.40 and 9,164.40

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Solution

The fourth proportional to 13,311.60, 19,967.40 and 9,164.40 is: 13,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,311.60 : 19,967.40 = 9,164.40 : x
  2. Step 2: Convert to fraction form
    13,311.60/19,967.40 = 9,164.40/x
  3. Step 3: Cross multiply
    13,311.60x = 19,967.40 × 9,164.40
  4. Step 4: Simplify right side
    13,311.60x = 182,989,240.56
  5. Step 5: Solve for x
    x = 182,989,240.56/13,311.60
  6. Step 6: Final answer
    x = 13,746.60

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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.