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Finding the Fourth Proportional to 12,254.66, 18,365.42 and 8,784.26

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Solution

The fourth proportional to 12,254.66, 18,365.42 and 8,784.26 is: 13,164.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254.66 : 18,365.42 = 8,784.26 : x
  2. Step 2: Convert to fraction form
    12,254.66/18,365.42 = 8,784.26/x
  3. Step 3: Cross multiply
    12,254.66x = 18,365.42 × 8,784.26
  4. Step 4: Simplify right side
    12,254.66x = 161,326,624.29
  5. Step 5: Solve for x
    x = 161,326,624.29/12,254.66
  6. Step 6: Final answer
    x = 13,164.51

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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.