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Finding the Fourth Proportional to 14,565.05, 20,097.29 and 8,189.99

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Solution

The fourth proportional to 14,565.05, 20,097.29 and 8,189.99 is: 11,300.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,565.05 : 20,097.29 = 8,189.99 : x
  2. Step 2: Convert to fraction form
    14,565.05/20,097.29 = 8,189.99/x
  3. Step 3: Cross multiply
    14,565.05x = 20,097.29 × 8,189.99
  4. Step 4: Simplify right side
    14,565.05x = 164,596,563.18
  5. Step 5: Solve for x
    x = 164,596,563.18/14,565.05
  6. Step 6: Final answer
    x = 11,300.79

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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.