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Finding the Fourth Proportional to 17,788.82, 24,548.32 and 9,830.87

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Solution

The fourth proportional to 17,788.82, 24,548.32 and 9,830.87 is: 13,566.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,788.82 : 24,548.32 = 9,830.87 : x
  2. Step 2: Convert to fraction form
    17,788.82/24,548.32 = 9,830.87/x
  3. Step 3: Cross multiply
    17,788.82x = 24,548.32 × 9,830.87
  4. Step 4: Simplify right side
    17,788.82x = 241,331,268.94
  5. Step 5: Solve for x
    x = 241,331,268.94/17,788.82
  6. Step 6: Final answer
    x = 13,566.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.