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Finding the Fourth Proportional to 13,540.64, 18,697.91 and 8,513.51

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Solution

The fourth proportional to 13,540.64, 18,697.91 and 8,513.51 is: 11,756.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,540.64 : 18,697.91 = 8,513.51 : x
  2. Step 2: Convert to fraction form
    13,540.64/18,697.91 = 8,513.51/x
  3. Step 3: Cross multiply
    13,540.64x = 18,697.91 × 8,513.51
  4. Step 4: Simplify right side
    13,540.64x = 159,184,707.71
  5. Step 5: Solve for x
    x = 159,184,707.71/13,540.64
  6. Step 6: Final answer
    x = 11,756.07

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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.