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Finding the Fourth Proportional to 17,509.77, 24,161.45 and 9,956.97

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Solution

The fourth proportional to 17,509.77, 24,161.45 and 9,956.97 is: 13,739.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.77 : 24,161.45 = 9,956.97 : x
  2. Step 2: Convert to fraction form
    17,509.77/24,161.45 = 9,956.97/x
  3. Step 3: Cross multiply
    17,509.77x = 24,161.45 × 9,956.97
  4. Step 4: Simplify right side
    17,509.77x = 240,574,783.02
  5. Step 5: Solve for x
    x = 240,574,783.02/17,509.77
  6. Step 6: Final answer
    x = 13,739.46

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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.