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Finding the Fourth Proportional to 19,399.50, 26,771.31 and 10,567.50

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Solution

The fourth proportional to 19,399.50, 26,771.31 and 10,567.50 is: 14,583.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,399.50 : 26,771.31 = 10,567.50 : x
  2. Step 2: Convert to fraction form
    19,399.50/26,771.31 = 10,567.50/x
  3. Step 3: Cross multiply
    19,399.50x = 26,771.31 × 10,567.50
  4. Step 4: Simplify right side
    19,399.50x = 282,905,818.43
  5. Step 5: Solve for x
    x = 282,905,818.43/19,399.50
  6. Step 6: Final answer
    x = 14,583.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.