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Finding the Fourth Proportional to 13,054.42, 19,544.37 and 8,663.14

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Solution

The fourth proportional to 13,054.42, 19,544.37 and 8,663.14 is: 12,969.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,054.42 : 19,544.37 = 8,663.14 : x
  2. Step 2: Convert to fraction form
    13,054.42/19,544.37 = 8,663.14/x
  3. Step 3: Cross multiply
    13,054.42x = 19,544.37 × 8,663.14
  4. Step 4: Simplify right side
    13,054.42x = 169,315,613.52
  5. Step 5: Solve for x
    x = 169,315,613.52/13,054.42
  6. Step 6: Final answer
    x = 12,969.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.