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Finding the Fourth Proportional to 12,894.84, 19,330.92 and 5,109.12

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Solution

The fourth proportional to 12,894.84, 19,330.92 and 5,109.12 is: 7,659.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.84 : 19,330.92 = 5,109.12 : x
  2. Step 2: Convert to fraction form
    12,894.84/19,330.92 = 5,109.12/x
  3. Step 3: Cross multiply
    12,894.84x = 19,330.92 × 5,109.12
  4. Step 4: Simplify right side
    12,894.84x = 98,763,989.99
  5. Step 5: Solve for x
    x = 98,763,989.99/12,894.84
  6. Step 6: Final answer
    x = 7,659.19

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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.