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Finding the Fourth Proportional to 14,430.82, 19,914.38 and 8,143.06

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Solution

The fourth proportional to 14,430.82, 19,914.38 and 8,143.06 is: 11,237.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,430.82 : 19,914.38 = 8,143.06 : x
  2. Step 2: Convert to fraction form
    14,430.82/19,914.38 = 8,143.06/x
  3. Step 3: Cross multiply
    14,430.82x = 19,914.38 × 8,143.06
  4. Step 4: Simplify right side
    14,430.82x = 162,163,950.49
  5. Step 5: Solve for x
    x = 162,163,950.49/14,430.82
  6. Step 6: Final answer
    x = 11,237.33

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Why These Related Problems?

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