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Finding the Fourth Proportional to 17,735.76, 24,473.48 and 9,777.51

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Solution

The fourth proportional to 17,735.76, 24,473.48 and 9,777.51 is: 13,491.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.76 : 24,473.48 = 9,777.51 : x
  2. Step 2: Convert to fraction form
    17,735.76/24,473.48 = 9,777.51/x
  3. Step 3: Cross multiply
    17,735.76x = 24,473.48 × 9,777.51
  4. Step 4: Simplify right side
    17,735.76x = 239,289,646.55
  5. Step 5: Solve for x
    x = 239,289,646.55/17,735.76
  6. Step 6: Final answer
    x = 13,491.93

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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.