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Finding the Fourth Proportional to 19,527.46, 29,294.04 and 6,196

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Solution

The fourth proportional to 19,527.46, 29,294.04 and 6,196 is: 9,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,527.46 : 29,294.04 = 6,196 : x
  2. Step 2: Convert to fraction form
    19,527.46/29,294.04 = 6,196/x
  3. Step 3: Cross multiply
    19,527.46x = 29,294.04 × 6,196
  4. Step 4: Simplify right side
    19,527.46x = 181,505,871.84
  5. Step 5: Solve for x
    x = 181,505,871.84/19,527.46
  6. Step 6: Final answer
    x = 9,294.90

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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.