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Finding the Fourth Proportional to 19,732, 27,230.34 and 11,353.36

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Solution

The fourth proportional to 19,732, 27,230.34 and 11,353.36 is: 15,667.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,732 : 27,230.34 = 11,353.36 : x
  2. Step 2: Convert to fraction form
    19,732/27,230.34 = 11,353.36/x
  3. Step 3: Cross multiply
    19,732x = 27,230.34 × 11,353.36
  4. Step 4: Simplify right side
    19,732x = 309,155,852.94
  5. Step 5: Solve for x
    x = 309,155,852.94/19,732
  6. Step 6: Final answer
    x = 15,667.74

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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.