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Finding the Fourth Proportional to 19,534.23, 29,306.16 and 5,494.23

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Solution

The fourth proportional to 19,534.23, 29,306.16 and 5,494.23 is: 8,242.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,534.23 : 29,306.16 = 5,494.23 : x
  2. Step 2: Convert to fraction form
    19,534.23/29,306.16 = 5,494.23/x
  3. Step 3: Cross multiply
    19,534.23x = 29,306.16 × 5,494.23
  4. Step 4: Simplify right side
    19,534.23x = 161,014,783.46
  5. Step 5: Solve for x
    x = 161,014,783.46/19,534.23
  6. Step 6: Final answer
    x = 8,242.70

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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.