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Finding the Fourth Proportional to 17,534.58, 24,196.74 and 9,982.76

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Solution

The fourth proportional to 17,534.58, 24,196.74 and 9,982.76 is: 13,775.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,534.58 : 24,196.74 = 9,982.76 : x
  2. Step 2: Convert to fraction form
    17,534.58/24,196.74 = 9,982.76/x
  3. Step 3: Cross multiply
    17,534.58x = 24,196.74 × 9,982.76
  4. Step 4: Simplify right side
    17,534.58x = 241,550,127.22
  5. Step 5: Solve for x
    x = 241,550,127.22/17,534.58
  6. Step 6: Final answer
    x = 13,775.64

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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.