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Finding the Fourth Proportional to 23,383.38, 32,258.86 and 15,827.00

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Solution

The fourth proportional to 23,383.38, 32,258.86 and 15,827.00 is: 21,834.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,383.38 : 32,258.86 = 15,827.00 : x
  2. Step 2: Convert to fraction form
    23,383.38/32,258.86 = 15,827.00/x
  3. Step 3: Cross multiply
    23,383.38x = 32,258.86 × 15,827.00
  4. Step 4: Simplify right side
    23,383.38x = 510,560,776.36
  5. Step 5: Solve for x
    x = 510,560,776.36/23,383.38
  6. Step 6: Final answer
    x = 21,834.34

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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.