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Finding the Fourth Proportional to 14,565.71, 20,100.23 and 8,192.58

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Solution

The fourth proportional to 14,565.71, 20,100.23 and 8,192.58 is: 11,305.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,565.71 : 20,100.23 = 8,192.58 : x
  2. Step 2: Convert to fraction form
    14,565.71/20,100.23 = 8,192.58/x
  3. Step 3: Cross multiply
    14,565.71x = 20,100.23 × 8,192.58
  4. Step 4: Simplify right side
    14,565.71x = 164,672,701.33
  5. Step 5: Solve for x
    x = 164,672,701.33/14,565.71
  6. Step 6: Final answer
    x = 11,305.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.