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Finding the Fourth Proportional to 14,900.89, 20,563.61 and 8,440

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Solution

The fourth proportional to 14,900.89, 20,563.61 and 8,440 is: 11,647.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,900.89 : 20,563.61 = 8,440 : x
  2. Step 2: Convert to fraction form
    14,900.89/20,563.61 = 8,440/x
  3. Step 3: Cross multiply
    14,900.89x = 20,563.61 × 8,440
  4. Step 4: Simplify right side
    14,900.89x = 173,556,868.40
  5. Step 5: Solve for x
    x = 173,556,868.40/14,900.89
  6. Step 6: Final answer
    x = 11,647.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.