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Finding the Fourth Proportional to 21,662.64, 29,894.06 and 12,101.91

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Solution

The fourth proportional to 21,662.64, 29,894.06 and 12,101.91 is: 16,700.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,662.64 : 29,894.06 = 12,101.91 : x
  2. Step 2: Convert to fraction form
    21,662.64/29,894.06 = 12,101.91/x
  3. Step 3: Cross multiply
    21,662.64x = 29,894.06 × 12,101.91
  4. Step 4: Simplify right side
    21,662.64x = 361,775,141.81
  5. Step 5: Solve for x
    x = 361,775,141.81/21,662.64
  6. Step 6: Final answer
    x = 16,700.42

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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.