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Finding the Fourth Proportional to 24,758.50, 34,166.91 and 13,580.50

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Solution

The fourth proportional to 24,758.50, 34,166.91 and 13,580.50 is: 18,741.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,758.50 : 34,166.91 = 13,580.50 : x
  2. Step 2: Convert to fraction form
    24,758.50/34,166.91 = 13,580.50/x
  3. Step 3: Cross multiply
    24,758.50x = 34,166.91 × 13,580.50
  4. Step 4: Simplify right side
    24,758.50x = 464,003,721.26
  5. Step 5: Solve for x
    x = 464,003,721.26/24,758.50
  6. Step 6: Final answer
    x = 18,741.19

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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.