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Finding the Fourth Proportional to 19,675.74, 29,509.94 and 5,632.76

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Solution

The fourth proportional to 19,675.74, 29,509.94 and 5,632.76 is: 8,448.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,675.74 : 29,509.94 = 5,632.76 : x
  2. Step 2: Convert to fraction form
    19,675.74/29,509.94 = 5,632.76/x
  3. Step 3: Cross multiply
    19,675.74x = 29,509.94 × 5,632.76
  4. Step 4: Simplify right side
    19,675.74x = 166,222,409.63
  5. Step 5: Solve for x
    x = 166,222,409.63/19,675.74
  6. Step 6: Final answer
    x = 8,448.09

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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.