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Finding the Fourth Proportional to 22,957.71, 34,455.02 and 11,867.64

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Solution

The fourth proportional to 22,957.71, 34,455.02 and 11,867.64 is: 17,811.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,957.71 : 34,455.02 = 11,867.64 : x
  2. Step 2: Convert to fraction form
    22,957.71/34,455.02 = 11,867.64/x
  3. Step 3: Cross multiply
    22,957.71x = 34,455.02 × 11,867.64
  4. Step 4: Simplify right side
    22,957.71x = 408,899,714.21
  5. Step 5: Solve for x
    x = 408,899,714.21/22,957.71
  6. Step 6: Final answer
    x = 17,811.00

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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.