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Finding the Fourth Proportional to 13,034.42, 19,514.34 and 8,643.14

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Solution

The fourth proportional to 13,034.42, 19,514.34 and 8,643.14 is: 12,939.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034.42 : 19,514.34 = 8,643.14 : x
  2. Step 2: Convert to fraction form
    13,034.42/19,514.34 = 8,643.14/x
  3. Step 3: Cross multiply
    13,034.42x = 19,514.34 × 8,643.14
  4. Step 4: Simplify right side
    13,034.42x = 168,665,172.63
  5. Step 5: Solve for x
    x = 168,665,172.63/13,034.42
  6. Step 6: Final answer
    x = 12,939.98

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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.