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Finding the Fourth Proportional to 19,764.19, 29,646.69 and 7,285.33

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Solution

The fourth proportional to 19,764.19, 29,646.69 and 7,285.33 is: 10,928.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,764.19 : 29,646.69 = 7,285.33 : x
  2. Step 2: Convert to fraction form
    19,764.19/29,646.69 = 7,285.33/x
  3. Step 3: Cross multiply
    19,764.19x = 29,646.69 × 7,285.33
  4. Step 4: Simplify right side
    19,764.19x = 215,985,920.06
  5. Step 5: Solve for x
    x = 215,985,920.06/19,764.19
  6. Step 6: Final answer
    x = 10,928.14

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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.