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Finding the Fourth Proportional to 24,825.67, 34,259.54 and 13,495.16

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Solution

The fourth proportional to 24,825.67, 34,259.54 and 13,495.16 is: 18,623.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,825.67 : 34,259.54 = 13,495.16 : x
  2. Step 2: Convert to fraction form
    24,825.67/34,259.54 = 13,495.16/x
  3. Step 3: Cross multiply
    24,825.67x = 34,259.54 × 13,495.16
  4. Step 4: Simplify right side
    24,825.67x = 462,338,093.21
  5. Step 5: Solve for x
    x = 462,338,093.21/24,825.67
  6. Step 6: Final answer
    x = 18,623.39

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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.