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Finding the Fourth Proportional to 13,536.99, 18,681.77 and 7,568.30

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Solution

The fourth proportional to 13,536.99, 18,681.77 and 7,568.30 is: 10,444.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,536.99 : 18,681.77 = 7,568.30 : x
  2. Step 2: Convert to fraction form
    13,536.99/18,681.77 = 7,568.30/x
  3. Step 3: Cross multiply
    13,536.99x = 18,681.77 × 7,568.30
  4. Step 4: Simplify right side
    13,536.99x = 141,389,305.52
  5. Step 5: Solve for x
    x = 141,389,305.52/13,536.99
  6. Step 6: Final answer
    x = 10,444.66

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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.