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Finding the Fourth Proportional to 14,565.58, 20,098.86 and 8,192.03

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Solution

The fourth proportional to 14,565.58, 20,098.86 and 8,192.03 is: 11,304.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,565.58 : 20,098.86 = 8,192.03 : x
  2. Step 2: Convert to fraction form
    14,565.58/20,098.86 = 8,192.03/x
  3. Step 3: Cross multiply
    14,565.58x = 20,098.86 × 8,192.03
  4. Step 4: Simplify right side
    14,565.58x = 164,650,464.09
  5. Step 5: Solve for x
    x = 164,650,464.09/14,565.58
  6. Step 6: Final answer
    x = 11,304.08

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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.