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Finding the Fourth Proportional to 13,533.89, 18,666.86 and 9,049.86

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Solution

The fourth proportional to 13,533.89, 18,666.86 and 9,049.86 is: 12,482.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533.89 : 18,666.86 = 9,049.86 : x
  2. Step 2: Convert to fraction form
    13,533.89/18,666.86 = 9,049.86/x
  3. Step 3: Cross multiply
    13,533.89x = 18,666.86 × 9,049.86
  4. Step 4: Simplify right side
    13,533.89x = 168,932,424.39
  5. Step 5: Solve for x
    x = 168,932,424.39/13,533.89
  6. Step 6: Final answer
    x = 12,482.18

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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.