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Finding the Fourth Proportional to 13,433.72, 18,538.07 and 7,465.64

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Solution

The fourth proportional to 13,433.72, 18,538.07 and 7,465.64 is: 10,302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,433.72 : 18,538.07 = 7,465.64 : x
  2. Step 2: Convert to fraction form
    13,433.72/18,538.07 = 7,465.64/x
  3. Step 3: Cross multiply
    13,433.72x = 18,538.07 × 7,465.64
  4. Step 4: Simplify right side
    13,433.72x = 138,398,426.90
  5. Step 5: Solve for x
    x = 138,398,426.90/13,433.72
  6. Step 6: Final answer
    x = 10,302.32

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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.