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Finding the Fourth Proportional to 19,667.36, 29,509.68 and 6,521.60

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Solution

The fourth proportional to 19,667.36, 29,509.68 and 6,521.60 is: 9,785.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,667.36 : 29,509.68 = 6,521.60 : x
  2. Step 2: Convert to fraction form
    19,667.36/29,509.68 = 6,521.60/x
  3. Step 3: Cross multiply
    19,667.36x = 29,509.68 × 6,521.60
  4. Step 4: Simplify right side
    19,667.36x = 192,450,329.09
  5. Step 5: Solve for x
    x = 192,450,329.09/19,667.36
  6. Step 6: Final answer
    x = 9,785.26

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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.