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Finding the Fourth Proportional to 14,328.46, 21,493.28 and 6,828.17

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Solution

The fourth proportional to 14,328.46, 21,493.28 and 6,828.17 is: 10,242.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,328.46 : 21,493.28 = 6,828.17 : x
  2. Step 2: Convert to fraction form
    14,328.46/21,493.28 = 6,828.17/x
  3. Step 3: Cross multiply
    14,328.46x = 21,493.28 × 6,828.17
  4. Step 4: Simplify right side
    14,328.46x = 146,759,679.30
  5. Step 5: Solve for x
    x = 146,759,679.30/14,328.46
  6. Step 6: Final answer
    x = 10,242.53

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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.