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Finding the Fourth Proportional to 17,735.19, 24,473.56 and 9,777.39

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Solution

The fourth proportional to 17,735.19, 24,473.56 and 9,777.39 is: 13,492.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.19 : 24,473.56 = 9,777.39 : x
  2. Step 2: Convert to fraction form
    17,735.19/24,473.56 = 9,777.39/x
  3. Step 3: Cross multiply
    17,735.19x = 24,473.56 × 9,777.39
  4. Step 4: Simplify right side
    17,735.19x = 239,287,540.81
  5. Step 5: Solve for x
    x = 239,287,540.81/17,735.19
  6. Step 6: Final answer
    x = 13,492.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.