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Finding the Fourth Proportional to 14,667.12, 22,001.64 and 4,278

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Solution

The fourth proportional to 14,667.12, 22,001.64 and 4,278 is: 6,417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,667.12 : 22,001.64 = 4,278 : x
  2. Step 2: Convert to fraction form
    14,667.12/22,001.64 = 4,278/x
  3. Step 3: Cross multiply
    14,667.12x = 22,001.64 × 4,278
  4. Step 4: Simplify right side
    14,667.12x = 94,123,015.92
  5. Step 5: Solve for x
    x = 94,123,015.92/14,667.12
  6. Step 6: Final answer
    x = 6,417.28

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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.