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Finding the Fourth Proportional to 23,881.88, 32,961.86 and 16,349.03

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Solution

The fourth proportional to 23,881.88, 32,961.86 and 16,349.03 is: 22,565.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,881.88 : 32,961.86 = 16,349.03 : x
  2. Step 2: Convert to fraction form
    23,881.88/32,961.86 = 16,349.03/x
  3. Step 3: Cross multiply
    23,881.88x = 32,961.86 × 16,349.03
  4. Step 4: Simplify right side
    23,881.88x = 538,894,561.27
  5. Step 5: Solve for x
    x = 538,894,561.27/23,881.88
  6. Step 6: Final answer
    x = 22,565.00

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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.