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Finding the Fourth Proportional to 13,436.12, 18,543.35 and 8,133.86

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Solution

The fourth proportional to 13,436.12, 18,543.35 and 8,133.86 is: 11,225.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,436.12 : 18,543.35 = 8,133.86 : x
  2. Step 2: Convert to fraction form
    13,436.12/18,543.35 = 8,133.86/x
  3. Step 3: Cross multiply
    13,436.12x = 18,543.35 × 8,133.86
  4. Step 4: Simplify right side
    13,436.12x = 150,829,079.52
  5. Step 5: Solve for x
    x = 150,829,079.52/13,436.12
  6. Step 6: Final answer
    x = 11,225.64

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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.