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Finding the Fourth Proportional to 12,816.40, 19,205.12 and 9,514

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Solution

The fourth proportional to 12,816.40, 19,205.12 and 9,514 is: 14,256.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.40 : 19,205.12 = 9,514 : x
  2. Step 2: Convert to fraction form
    12,816.40/19,205.12 = 9,514/x
  3. Step 3: Cross multiply
    12,816.40x = 19,205.12 × 9,514
  4. Step 4: Simplify right side
    12,816.40x = 182,717,511.68
  5. Step 5: Solve for x
    x = 182,717,511.68/12,816.40
  6. Step 6: Final answer
    x = 14,256.54

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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.