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Finding the Fourth Proportional to 19,713.60, 29,565.24 and 7,866.90

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Solution

The fourth proportional to 19,713.60, 29,565.24 and 7,866.90 is: 11,798.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,713.60 : 29,565.24 = 7,866.90 : x
  2. Step 2: Convert to fraction form
    19,713.60/29,565.24 = 7,866.90/x
  3. Step 3: Cross multiply
    19,713.60x = 29,565.24 × 7,866.90
  4. Step 4: Simplify right side
    19,713.60x = 232,586,786.56
  5. Step 5: Solve for x
    x = 232,586,786.56/19,713.60
  6. Step 6: Final answer
    x = 11,798.29

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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.