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Finding the Fourth Proportional to 17,824.64, 24,598.74 and 9,866.72

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Solution

The fourth proportional to 17,824.64, 24,598.74 and 9,866.72 is: 13,616.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,824.64 : 24,598.74 = 9,866.72 : x
  2. Step 2: Convert to fraction form
    17,824.64/24,598.74 = 9,866.72/x
  3. Step 3: Cross multiply
    17,824.64x = 24,598.74 × 9,866.72
  4. Step 4: Simplify right side
    17,824.64x = 242,708,879.93
  5. Step 5: Solve for x
    x = 242,708,879.93/17,824.64
  6. Step 6: Final answer
    x = 13,616.48

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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.