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Finding the Fourth Proportional to 19,633.88, 29,460.27 and 9,774.02

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Solution

The fourth proportional to 19,633.88, 29,460.27 and 9,774.02 is: 14,665.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,633.88 : 29,460.27 = 9,774.02 : x
  2. Step 2: Convert to fraction form
    19,633.88/29,460.27 = 9,774.02/x
  3. Step 3: Cross multiply
    19,633.88x = 29,460.27 × 9,774.02
  4. Step 4: Simplify right side
    19,633.88x = 287,945,268.19
  5. Step 5: Solve for x
    x = 287,945,268.19/19,633.88
  6. Step 6: Final answer
    x = 14,665.73

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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.