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Finding the Fourth Proportional to 19,576.90, 29,365.37 and 9,188.66

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Solution

The fourth proportional to 19,576.90, 29,365.37 and 9,188.66 is: 13,783.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,576.90 : 29,365.37 = 9,188.66 : x
  2. Step 2: Convert to fraction form
    19,576.90/29,365.37 = 9,188.66/x
  3. Step 3: Cross multiply
    19,576.90x = 29,365.37 × 9,188.66
  4. Step 4: Simplify right side
    19,576.90x = 269,828,400.70
  5. Step 5: Solve for x
    x = 269,828,400.70/19,576.90
  6. Step 6: Final answer
    x = 13,783.00

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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.