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Finding the Fourth Proportional to 13,634.36, 18,827.74 and 8,607.48

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Solution

The fourth proportional to 13,634.36, 18,827.74 and 8,607.48 is: 11,886.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,634.36 : 18,827.74 = 8,607.48 : x
  2. Step 2: Convert to fraction form
    13,634.36/18,827.74 = 8,607.48/x
  3. Step 3: Cross multiply
    13,634.36x = 18,827.74 × 8,607.48
  4. Step 4: Simplify right side
    13,634.36x = 162,059,395.50
  5. Step 5: Solve for x
    x = 162,059,395.50/13,634.36
  6. Step 6: Final answer
    x = 11,886.10

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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.