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Finding the Fourth Proportional to 13,534.19, 18,679.64 and 8,502.87

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Solution

The fourth proportional to 13,534.19, 18,679.64 and 8,502.87 is: 11,735.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.19 : 18,679.64 = 8,502.87 : x
  2. Step 2: Convert to fraction form
    13,534.19/18,679.64 = 8,502.87/x
  3. Step 3: Cross multiply
    13,534.19x = 18,679.64 × 8,502.87
  4. Step 4: Simplify right side
    13,534.19x = 158,830,550.57
  5. Step 5: Solve for x
    x = 158,830,550.57/13,534.19
  6. Step 6: Final answer
    x = 11,735.50

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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.