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Finding the Fourth Proportional to 14,775.42, 22,163.13 and 6,985.02

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Solution

The fourth proportional to 14,775.42, 22,163.13 and 6,985.02 is: 10,477.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,775.42 : 22,163.13 = 6,985.02 : x
  2. Step 2: Convert to fraction form
    14,775.42/22,163.13 = 6,985.02/x
  3. Step 3: Cross multiply
    14,775.42x = 22,163.13 × 6,985.02
  4. Step 4: Simplify right side
    14,775.42x = 154,809,906.31
  5. Step 5: Solve for x
    x = 154,809,906.31/14,775.42
  6. Step 6: Final answer
    x = 10,477.53

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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.