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Finding the Fourth Proportional to 12,298.86, 18,460.85 and 9,002.16

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Solution

The fourth proportional to 12,298.86, 18,460.85 and 9,002.16 is: 13,512.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.86 : 18,460.85 = 9,002.16 : x
  2. Step 2: Convert to fraction form
    12,298.86/18,460.85 = 9,002.16/x
  3. Step 3: Cross multiply
    12,298.86x = 18,460.85 × 9,002.16
  4. Step 4: Simplify right side
    12,298.86x = 166,187,480.43
  5. Step 5: Solve for x
    x = 166,187,480.43/12,298.86
  6. Step 6: Final answer
    x = 13,512.43

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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.