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Finding the Fourth Proportional to 23,777.80, 35,666.88 and 7,137.96

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Solution

The fourth proportional to 23,777.80, 35,666.88 and 7,137.96 is: 10,706.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,777.80 : 35,666.88 = 7,137.96 : x
  2. Step 2: Convert to fraction form
    23,777.80/35,666.88 = 7,137.96/x
  3. Step 3: Cross multiply
    23,777.80x = 35,666.88 × 7,137.96
  4. Step 4: Simplify right side
    23,777.80x = 254,588,762.76
  5. Step 5: Solve for x
    x = 254,588,762.76/23,777.80
  6. Step 6: Final answer
    x = 10,706.99

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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.