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Finding the Fourth Proportional to 13,534.29, 18,678.27 and 8,818.58

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Solution

The fourth proportional to 13,534.29, 18,678.27 and 8,818.58 is: 12,170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.29 : 18,678.27 = 8,818.58 : x
  2. Step 2: Convert to fraction form
    13,534.29/18,678.27 = 8,818.58/x
  3. Step 3: Cross multiply
    13,534.29x = 18,678.27 × 8,818.58
  4. Step 4: Simplify right side
    13,534.29x = 164,715,724.87
  5. Step 5: Solve for x
    x = 164,715,724.87/13,534.29
  6. Step 6: Final answer
    x = 12,170.25

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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.