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Finding the Fourth Proportional to 12,835.84, 19,249.98 and 4,514.32

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Solution

The fourth proportional to 12,835.84, 19,249.98 and 4,514.32 is: 6,770.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835.84 : 19,249.98 = 4,514.32 : x
  2. Step 2: Convert to fraction form
    12,835.84/19,249.98 = 4,514.32/x
  3. Step 3: Cross multiply
    12,835.84x = 19,249.98 × 4,514.32
  4. Step 4: Simplify right side
    12,835.84x = 86,900,569.71
  5. Step 5: Solve for x
    x = 86,900,569.71/12,835.84
  6. Step 6: Final answer
    x = 6,770.15

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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.