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Finding the Fourth Proportional to 17,656.54, 24,366.57 and 9,698.75

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Solution

The fourth proportional to 17,656.54, 24,366.57 and 9,698.75 is: 13,384.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,656.54 : 24,366.57 = 9,698.75 : x
  2. Step 2: Convert to fraction form
    17,656.54/24,366.57 = 9,698.75/x
  3. Step 3: Cross multiply
    17,656.54x = 24,366.57 × 9,698.75
  4. Step 4: Simplify right side
    17,656.54x = 236,325,270.79
  5. Step 5: Solve for x
    x = 236,325,270.79/17,656.54
  6. Step 6: Final answer
    x = 13,384.58

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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.