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Finding the Fourth Proportional to 21,159.91, 31,717.49 and 7,824.34

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Solution

The fourth proportional to 21,159.91, 31,717.49 and 7,824.34 is: 11,728.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,159.91 : 31,717.49 = 7,824.34 : x
  2. Step 2: Convert to fraction form
    21,159.91/31,717.49 = 7,824.34/x
  3. Step 3: Cross multiply
    21,159.91x = 31,717.49 × 7,824.34
  4. Step 4: Simplify right side
    21,159.91x = 248,168,464.45
  5. Step 5: Solve for x
    x = 248,168,464.45/21,159.91
  6. Step 6: Final answer
    x = 11,728.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.