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Finding the Fourth Proportional to 17,772.30, 24,525.78 and 9,706.07

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Solution

The fourth proportional to 17,772.30, 24,525.78 and 9,706.07 is: 13,394.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,772.30 : 24,525.78 = 9,706.07 : x
  2. Step 2: Convert to fraction form
    17,772.30/24,525.78 = 9,706.07/x
  3. Step 3: Cross multiply
    17,772.30x = 24,525.78 × 9,706.07
  4. Step 4: Simplify right side
    17,772.30x = 238,048,814.86
  5. Step 5: Solve for x
    x = 238,048,814.86/17,772.30
  6. Step 6: Final answer
    x = 13,394.37

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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.