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Finding the Fourth Proportional to 14,268, 19,689.84 and 9,300

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Solution

The fourth proportional to 14,268, 19,689.84 and 9,300 is: 12,834

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,268 : 19,689.84 = 9,300 : x
  2. Step 2: Convert to fraction form
    14,268/19,689.84 = 9,300/x
  3. Step 3: Cross multiply
    14,268x = 19,689.84 × 9,300
  4. Step 4: Simplify right side
    14,268x = 183,115,512
  5. Step 5: Solve for x
    x = 183,115,512/14,268
  6. Step 6: Final answer
    x = 12,834

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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.