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Finding the Fourth Proportional to 17,824.24, 24,597.80 and 9,866.24

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Solution

The fourth proportional to 17,824.24, 24,597.80 and 9,866.24 is: 13,615.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,824.24 : 24,597.80 = 9,866.24 : x
  2. Step 2: Convert to fraction form
    17,824.24/24,597.80 = 9,866.24/x
  3. Step 3: Cross multiply
    17,824.24x = 24,597.80 × 9,866.24
  4. Step 4: Simplify right side
    17,824.24x = 242,687,798.27
  5. Step 5: Solve for x
    x = 242,687,798.27/17,824.24
  6. Step 6: Final answer
    x = 13,615.60

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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.