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Finding the Fourth Proportional to 14,284.63, 21,440.80 and 6,894.29

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Solution

The fourth proportional to 14,284.63, 21,440.80 and 6,894.29 is: 10,348.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.63 : 21,440.80 = 6,894.29 : x
  2. Step 2: Convert to fraction form
    14,284.63/21,440.80 = 6,894.29/x
  3. Step 3: Cross multiply
    14,284.63x = 21,440.80 × 6,894.29
  4. Step 4: Simplify right side
    14,284.63x = 147,819,093.03
  5. Step 5: Solve for x
    x = 147,819,093.03/14,284.63
  6. Step 6: Final answer
    x = 10,348.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.