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Finding the Fourth Proportional to 24,509.48, 33,823.08 and 13,899.15

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Solution

The fourth proportional to 24,509.48, 33,823.08 and 13,899.15 is: 19,180.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.48 : 33,823.08 = 13,899.15 : x
  2. Step 2: Convert to fraction form
    24,509.48/33,823.08 = 13,899.15/x
  3. Step 3: Cross multiply
    24,509.48x = 33,823.08 × 13,899.15
  4. Step 4: Simplify right side
    24,509.48x = 470,112,062.38
  5. Step 5: Solve for x
    x = 470,112,062.38/24,509.48
  6. Step 6: Final answer
    x = 19,180.83

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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.