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Finding the Fourth Proportional to 21,713.06, 29,964.03 and 11,777.06

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Solution

The fourth proportional to 21,713.06, 29,964.03 and 11,777.06 is: 16,252.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,713.06 : 29,964.03 = 11,777.06 : x
  2. Step 2: Convert to fraction form
    21,713.06/29,964.03 = 11,777.06/x
  3. Step 3: Cross multiply
    21,713.06x = 29,964.03 × 11,777.06
  4. Step 4: Simplify right side
    21,713.06x = 352,888,209.90
  5. Step 5: Solve for x
    x = 352,888,209.90/21,713.06
  6. Step 6: Final answer
    x = 16,252.35

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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.