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Finding the Fourth Proportional to 17,647.83, 24,354.42 and 9,690.63

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Solution

The fourth proportional to 17,647.83, 24,354.42 and 9,690.63 is: 13,373.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647.83 : 24,354.42 = 9,690.63 : x
  2. Step 2: Convert to fraction form
    17,647.83/24,354.42 = 9,690.63/x
  3. Step 3: Cross multiply
    17,647.83x = 24,354.42 × 9,690.63
  4. Step 4: Simplify right side
    17,647.83x = 236,009,673.08
  5. Step 5: Solve for x
    x = 236,009,673.08/17,647.83
  6. Step 6: Final answer
    x = 13,373.30

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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.