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Finding the Fourth Proportional to 12,894.24, 19,308.69 and 10,808.76

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Solution

The fourth proportional to 12,894.24, 19,308.69 and 10,808.76 is: 16,185.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.24 : 19,308.69 = 10,808.76 : x
  2. Step 2: Convert to fraction form
    12,894.24/19,308.69 = 10,808.76/x
  3. Step 3: Cross multiply
    12,894.24x = 19,308.69 × 10,808.76
  4. Step 4: Simplify right side
    12,894.24x = 208,702,996.12
  5. Step 5: Solve for x
    x = 208,702,996.12/12,894.24
  6. Step 6: Final answer
    x = 16,185.75

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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.