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Finding the Fourth Proportional to 14,159.14, 21,238.74 and 4,298.49

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Solution

The fourth proportional to 14,159.14, 21,238.74 and 4,298.49 is: 6,447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,159.14 : 21,238.74 = 4,298.49 : x
  2. Step 2: Convert to fraction form
    14,159.14/21,238.74 = 4,298.49/x
  3. Step 3: Cross multiply
    14,159.14x = 21,238.74 × 4,298.49
  4. Step 4: Simplify right side
    14,159.14x = 91,294,511.50
  5. Step 5: Solve for x
    x = 91,294,511.50/14,159.14
  6. Step 6: Final answer
    x = 6,447.75

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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.