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Finding the Fourth Proportional to 14,284.66, 21,440.81 and 6,894.32

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Solution

The fourth proportional to 14,284.66, 21,440.81 and 6,894.32 is: 10,348.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284.66 : 21,440.81 = 6,894.32 : x
  2. Step 2: Convert to fraction form
    14,284.66/21,440.81 = 6,894.32/x
  3. Step 3: Cross multiply
    14,284.66x = 21,440.81 × 6,894.32
  4. Step 4: Simplify right side
    14,284.66x = 147,819,756.85
  5. Step 5: Solve for x
    x = 147,819,756.85/14,284.66
  6. Step 6: Final answer
    x = 10,348.15

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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.