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Finding the Fourth Proportional to 12,302.88, 18,466.84 and 9,006.16

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Solution

The fourth proportional to 12,302.88, 18,466.84 and 9,006.16 is: 13,518.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.88 : 18,466.84 = 9,006.16 : x
  2. Step 2: Convert to fraction form
    12,302.88/18,466.84 = 9,006.16/x
  3. Step 3: Cross multiply
    12,302.88x = 18,466.84 × 9,006.16
  4. Step 4: Simplify right side
    12,302.88x = 166,315,315.73
  5. Step 5: Solve for x
    x = 166,315,315.73/12,302.88
  6. Step 6: Final answer
    x = 13,518.41

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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.