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Finding the Fourth Proportional to 16,294, 24,453.28 and 11,922.72

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Solution

The fourth proportional to 16,294, 24,453.28 and 11,922.72 is: 17,893.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294 : 24,453.28 = 11,922.72 : x
  2. Step 2: Convert to fraction form
    16,294/24,453.28 = 11,922.72/x
  3. Step 3: Cross multiply
    16,294x = 24,453.28 × 11,922.72
  4. Step 4: Simplify right side
    16,294x = 291,549,610.52
  5. Step 5: Solve for x
    x = 291,549,610.52/16,294
  6. Step 6: Final answer
    x = 17,893.07

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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.