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Finding the Fourth Proportional to 19,709.16, 29,559.31 and 5,666.07

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Solution

The fourth proportional to 19,709.16, 29,559.31 and 5,666.07 is: 8,497.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.16 : 29,559.31 = 5,666.07 : x
  2. Step 2: Convert to fraction form
    19,709.16/29,559.31 = 5,666.07/x
  3. Step 3: Cross multiply
    19,709.16x = 29,559.31 × 5,666.07
  4. Step 4: Simplify right side
    19,709.16x = 167,485,081.89
  5. Step 5: Solve for x
    x = 167,485,081.89/19,709.16
  6. Step 6: Final answer
    x = 8,497.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.