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Finding the Fourth Proportional to 24,658.86, 36,986.40 and 9,075

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Solution

The fourth proportional to 24,658.86, 36,986.40 and 9,075 is: 13,611.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,658.86 : 36,986.40 = 9,075 : x
  2. Step 2: Convert to fraction form
    24,658.86/36,986.40 = 9,075/x
  3. Step 3: Cross multiply
    24,658.86x = 36,986.40 × 9,075
  4. Step 4: Simplify right side
    24,658.86x = 335,651,580
  5. Step 5: Solve for x
    x = 335,651,580/24,658.86
  6. Step 6: Final answer
    x = 13,611.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.