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Finding the Fourth Proportional to 19,541.50, 29,313.06 and 5,690.50

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Solution

The fourth proportional to 19,541.50, 29,313.06 and 5,690.50 is: 8,535.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,541.50 : 29,313.06 = 5,690.50 : x
  2. Step 2: Convert to fraction form
    19,541.50/29,313.06 = 5,690.50/x
  3. Step 3: Cross multiply
    19,541.50x = 29,313.06 × 5,690.50
  4. Step 4: Simplify right side
    19,541.50x = 166,805,967.93
  5. Step 5: Solve for x
    x = 166,805,967.93/19,541.50
  6. Step 6: Final answer
    x = 8,535.99

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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.