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Finding the Fourth Proportional to 23,514.42, 35,266.95 and 11,031.24

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Solution

The fourth proportional to 23,514.42, 35,266.95 and 11,031.24 is: 16,544.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,514.42 : 35,266.95 = 11,031.24 : x
  2. Step 2: Convert to fraction form
    23,514.42/35,266.95 = 11,031.24/x
  3. Step 3: Cross multiply
    23,514.42x = 35,266.95 × 11,031.24
  4. Step 4: Simplify right side
    23,514.42x = 389,038,189.52
  5. Step 5: Solve for x
    x = 389,038,189.52/23,514.42
  6. Step 6: Final answer
    x = 16,544.66

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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.