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Finding the Fourth Proportional to 14,980.22, 22,473.21 and 5,745.50

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Solution

The fourth proportional to 14,980.22, 22,473.21 and 5,745.50 is: 8,619.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,980.22 : 22,473.21 = 5,745.50 : x
  2. Step 2: Convert to fraction form
    14,980.22/22,473.21 = 5,745.50/x
  3. Step 3: Cross multiply
    14,980.22x = 22,473.21 × 5,745.50
  4. Step 4: Simplify right side
    14,980.22x = 129,119,828.06
  5. Step 5: Solve for x
    x = 129,119,828.06/14,980.22
  6. Step 6: Final answer
    x = 8,619.35

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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.