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Finding the Fourth Proportional to 17,804.86, 24,570.68 and 9,738.54

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Solution

The fourth proportional to 17,804.86, 24,570.68 and 9,738.54 is: 13,439.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,804.86 : 24,570.68 = 9,738.54 : x
  2. Step 2: Convert to fraction form
    17,804.86/24,570.68 = 9,738.54/x
  3. Step 3: Cross multiply
    17,804.86x = 24,570.68 × 9,738.54
  4. Step 4: Simplify right side
    17,804.86x = 239,282,501.31
  5. Step 5: Solve for x
    x = 239,282,501.31/17,804.86
  6. Step 6: Final answer
    x = 13,439.17

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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.