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Finding the Fourth Proportional to 24,760.84, 34,169.76 and 13,430.23

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Solution

The fourth proportional to 24,760.84, 34,169.76 and 13,430.23 is: 18,533.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,760.84 : 34,169.76 = 13,430.23 : x
  2. Step 2: Convert to fraction form
    24,760.84/34,169.76 = 13,430.23/x
  3. Step 3: Cross multiply
    24,760.84x = 34,169.76 × 13,430.23
  4. Step 4: Simplify right side
    24,760.84x = 458,907,735.84
  5. Step 5: Solve for x
    x = 458,907,735.84/24,760.84
  6. Step 6: Final answer
    x = 18,533.61

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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.