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Finding the Fourth Proportional to 13,901.94, 20,853 and 4,667.94

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Solution

The fourth proportional to 13,901.94, 20,853 and 4,667.94 is: 7,001.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,901.94 : 20,853 = 4,667.94 : x
  2. Step 2: Convert to fraction form
    13,901.94/20,853 = 4,667.94/x
  3. Step 3: Cross multiply
    13,901.94x = 20,853 × 4,667.94
  4. Step 4: Simplify right side
    13,901.94x = 97,340,552.82
  5. Step 5: Solve for x
    x = 97,340,552.82/13,901.94
  6. Step 6: Final answer
    x = 7,001.94

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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.