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Finding the Fourth Proportional to 14,314.54, 21,478.68 and 7,389.04

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Solution

The fourth proportional to 14,314.54, 21,478.68 and 7,389.04 is: 11,087.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.54 : 21,478.68 = 7,389.04 : x
  2. Step 2: Convert to fraction form
    14,314.54/21,478.68 = 7,389.04/x
  3. Step 3: Cross multiply
    14,314.54x = 21,478.68 × 7,389.04
  4. Step 4: Simplify right side
    14,314.54x = 158,706,825.67
  5. Step 5: Solve for x
    x = 158,706,825.67/14,314.54
  6. Step 6: Final answer
    x = 11,087.11

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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.