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Finding the Fourth Proportional to 19,615.50, 27,069.66 and 11,232

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Solution

The fourth proportional to 19,615.50, 27,069.66 and 11,232 is: 15,500.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,615.50 : 27,069.66 = 11,232 : x
  2. Step 2: Convert to fraction form
    19,615.50/27,069.66 = 11,232/x
  3. Step 3: Cross multiply
    19,615.50x = 27,069.66 × 11,232
  4. Step 4: Simplify right side
    19,615.50x = 304,046,421.12
  5. Step 5: Solve for x
    x = 304,046,421.12/19,615.50
  6. Step 6: Final answer
    x = 15,500.31

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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.