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Finding the Fourth Proportional to 12,602.18, 18,878.67 and 9,264.27

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Solution

The fourth proportional to 12,602.18, 18,878.67 and 9,264.27 is: 13,878.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,602.18 : 18,878.67 = 9,264.27 : x
  2. Step 2: Convert to fraction form
    12,602.18/18,878.67 = 9,264.27/x
  3. Step 3: Cross multiply
    12,602.18x = 18,878.67 × 9,264.27
  4. Step 4: Simplify right side
    12,602.18x = 174,897,166.92
  5. Step 5: Solve for x
    x = 174,897,166.92/12,602.18
  6. Step 6: Final answer
    x = 13,878.32

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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.