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Finding the Fourth Proportional to 14,486.24, 19,993.14 and 9,181.52

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Solution

The fourth proportional to 14,486.24, 19,993.14 and 9,181.52 is: 12,671.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,486.24 : 19,993.14 = 9,181.52 : x
  2. Step 2: Convert to fraction form
    14,486.24/19,993.14 = 9,181.52/x
  3. Step 3: Cross multiply
    14,486.24x = 19,993.14 × 9,181.52
  4. Step 4: Simplify right side
    14,486.24x = 183,567,414.77
  5. Step 5: Solve for x
    x = 183,567,414.77/14,486.24
  6. Step 6: Final answer
    x = 12,671.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.