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Finding the Fourth Proportional to 12,157.14, 18,223.41 and 4,756.98

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Solution

The fourth proportional to 12,157.14, 18,223.41 and 4,756.98 is: 7,130.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,157.14 : 18,223.41 = 4,756.98 : x
  2. Step 2: Convert to fraction form
    12,157.14/18,223.41 = 4,756.98/x
  3. Step 3: Cross multiply
    12,157.14x = 18,223.41 × 4,756.98
  4. Step 4: Simplify right side
    12,157.14x = 86,688,396.90
  5. Step 5: Solve for x
    x = 86,688,396.90/12,157.14
  6. Step 6: Final answer
    x = 7,130.66

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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.