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Finding the Fourth Proportional to 14,700.22, 22,054.04 and 6,378.21

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Solution

The fourth proportional to 14,700.22, 22,054.04 and 6,378.21 is: 9,568.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,700.22 : 22,054.04 = 6,378.21 : x
  2. Step 2: Convert to fraction form
    14,700.22/22,054.04 = 6,378.21/x
  3. Step 3: Cross multiply
    14,700.22x = 22,054.04 × 6,378.21
  4. Step 4: Simplify right side
    14,700.22x = 140,665,290.50
  5. Step 5: Solve for x
    x = 140,665,290.50/14,700.22
  6. Step 6: Final answer
    x = 9,568.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.