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Finding the Fourth Proportional to 15,136.37, 22,684.80 and 9,434.98

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Solution

The fourth proportional to 15,136.37, 22,684.80 and 9,434.98 is: 14,140.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,136.37 : 22,684.80 = 9,434.98 : x
  2. Step 2: Convert to fraction form
    15,136.37/22,684.80 = 9,434.98/x
  3. Step 3: Cross multiply
    15,136.37x = 22,684.80 × 9,434.98
  4. Step 4: Simplify right side
    15,136.37x = 214,030,634.30
  5. Step 5: Solve for x
    x = 214,030,634.30/15,136.37
  6. Step 6: Final answer
    x = 14,140.16

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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.