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Finding the Fourth Proportional to 13,153.58, 18,133.05 and 8,114.40

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Solution

The fourth proportional to 13,153.58, 18,133.05 and 8,114.40 is: 11,186.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153.58 : 18,133.05 = 8,114.40 : x
  2. Step 2: Convert to fraction form
    13,153.58/18,133.05 = 8,114.40/x
  3. Step 3: Cross multiply
    13,153.58x = 18,133.05 × 8,114.40
  4. Step 4: Simplify right side
    13,153.58x = 147,138,820.92
  5. Step 5: Solve for x
    x = 147,138,820.92/13,153.58
  6. Step 6: Final answer
    x = 11,186.22

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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.