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Finding the Fourth Proportional to 24,852.50, 34,297.08 and 13,522.64

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Solution

The fourth proportional to 24,852.50, 34,297.08 and 13,522.64 is: 18,661.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,852.50 : 34,297.08 = 13,522.64 : x
  2. Step 2: Convert to fraction form
    24,852.50/34,297.08 = 13,522.64/x
  3. Step 3: Cross multiply
    24,852.50x = 34,297.08 × 13,522.64
  4. Step 4: Simplify right side
    24,852.50x = 463,787,065.89
  5. Step 5: Solve for x
    x = 463,787,065.89/24,852.50
  6. Step 6: Final answer
    x = 18,661.59

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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.