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Finding the Fourth Proportional to 14,886, 22,329 and 6,678

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Solution

The fourth proportional to 14,886, 22,329 and 6,678 is: 10,017

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,886 : 22,329 = 6,678 : x
  2. Step 2: Convert to fraction form
    14,886/22,329 = 6,678/x
  3. Step 3: Cross multiply
    14,886x = 22,329 × 6,678
  4. Step 4: Simplify right side
    14,886x = 149,113,062
  5. Step 5: Solve for x
    x = 149,113,062/14,886
  6. Step 6: Final answer
    x = 10,017

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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.