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Finding the Fourth Proportional to 19,641.84, 27,099.20 and 11,143.12

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Solution

The fourth proportional to 19,641.84, 27,099.20 and 11,143.12 is: 15,373.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,641.84 : 27,099.20 = 11,143.12 : x
  2. Step 2: Convert to fraction form
    19,641.84/27,099.20 = 11,143.12/x
  3. Step 3: Cross multiply
    19,641.84x = 27,099.20 × 11,143.12
  4. Step 4: Simplify right side
    19,641.84x = 301,969,637.50
  5. Step 5: Solve for x
    x = 301,969,637.50/19,641.84
  6. Step 6: Final answer
    x = 15,373.80

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1.5x scale

Why These Related Problems?

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