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Finding the Fourth Proportional to 19,598.94, 29,399.43 and 9,078.80

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Solution

The fourth proportional to 19,598.94, 29,399.43 and 9,078.80 is: 13,618.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,598.94 : 29,399.43 = 9,078.80 : x
  2. Step 2: Convert to fraction form
    19,598.94/29,399.43 = 9,078.80/x
  3. Step 3: Cross multiply
    19,598.94x = 29,399.43 × 9,078.80
  4. Step 4: Simplify right side
    19,598.94x = 266,911,398.09
  5. Step 5: Solve for x
    x = 266,911,398.09/19,598.94
  6. Step 6: Final answer
    x = 13,618.66

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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.