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Finding the Fourth Proportional to 14,847.34, 22,271.28 and 6,945.48

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Solution

The fourth proportional to 14,847.34, 22,271.28 and 6,945.48 is: 10,418.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,847.34 : 22,271.28 = 6,945.48 : x
  2. Step 2: Convert to fraction form
    14,847.34/22,271.28 = 6,945.48/x
  3. Step 3: Cross multiply
    14,847.34x = 22,271.28 × 6,945.48
  4. Step 4: Simplify right side
    14,847.34x = 154,684,729.81
  5. Step 5: Solve for x
    x = 154,684,729.81/14,847.34
  6. Step 6: Final answer
    x = 10,418.35

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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.