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Finding the Fourth Proportional to 19,598.49, 29,400.75 and 6,447.78

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Solution

The fourth proportional to 19,598.49, 29,400.75 and 6,447.78 is: 9,672.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,598.49 : 29,400.75 = 6,447.78 : x
  2. Step 2: Convert to fraction form
    19,598.49/29,400.75 = 6,447.78/x
  3. Step 3: Cross multiply
    19,598.49x = 29,400.75 × 6,447.78
  4. Step 4: Simplify right side
    19,598.49x = 189,569,567.84
  5. Step 5: Solve for x
    x = 189,569,567.84/19,598.49
  6. Step 6: Final answer
    x = 9,672.66

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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.