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Finding the Fourth Proportional to 13,265.64, 18,313.56 and 9,039.06

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Solution

The fourth proportional to 13,265.64, 18,313.56 and 9,039.06 is: 12,478.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,265.64 : 18,313.56 = 9,039.06 : x
  2. Step 2: Convert to fraction form
    13,265.64/18,313.56 = 9,039.06/x
  3. Step 3: Cross multiply
    13,265.64x = 18,313.56 × 9,039.06
  4. Step 4: Simplify right side
    13,265.64x = 165,537,367.65
  5. Step 5: Solve for x
    x = 165,537,367.65/13,265.64
  6. Step 6: Final answer
    x = 12,478.66

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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.