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Finding the Fourth Proportional to 12,799.84, 19,199.76 and 7,324

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Solution

The fourth proportional to 12,799.84, 19,199.76 and 7,324 is: 10,986.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,799.84 : 19,199.76 = 7,324 : x
  2. Step 2: Convert to fraction form
    12,799.84/19,199.76 = 7,324/x
  3. Step 3: Cross multiply
    12,799.84x = 19,199.76 × 7,324
  4. Step 4: Simplify right side
    12,799.84x = 140,619,042.24
  5. Step 5: Solve for x
    x = 140,619,042.24/12,799.84
  6. Step 6: Final answer
    x = 10,986.00

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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.