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Finding the Fourth Proportional to 13,303.84, 18,349.65 and 9,047.33

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Solution

The fourth proportional to 13,303.84, 18,349.65 and 9,047.33 is: 12,478.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,303.84 : 18,349.65 = 9,047.33 : x
  2. Step 2: Convert to fraction form
    13,303.84/18,349.65 = 9,047.33/x
  3. Step 3: Cross multiply
    13,303.84x = 18,349.65 × 9,047.33
  4. Step 4: Simplify right side
    13,303.84x = 166,015,350.88
  5. Step 5: Solve for x
    x = 166,015,350.88/13,303.84
  6. Step 6: Final answer
    x = 12,478.76

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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.