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Finding the Fourth Proportional to 12,018.29, 16,561.61 and 9,188.86

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Solution

The fourth proportional to 12,018.29, 16,561.61 and 9,188.86 is: 12,662.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,018.29 : 16,561.61 = 9,188.86 : x
  2. Step 2: Convert to fraction form
    12,018.29/16,561.61 = 9,188.86/x
  3. Step 3: Cross multiply
    12,018.29x = 16,561.61 × 9,188.86
  4. Step 4: Simplify right side
    12,018.29x = 152,182,228.32
  5. Step 5: Solve for x
    x = 152,182,228.32/12,018.29
  6. Step 6: Final answer
    x = 12,662.56

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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.