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Finding the Fourth Proportional to 12,314.23, 16,994.89 and 7,280.08

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Solution

The fourth proportional to 12,314.23, 16,994.89 and 7,280.08 is: 10,047.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.23 : 16,994.89 = 7,280.08 : x
  2. Step 2: Convert to fraction form
    12,314.23/16,994.89 = 7,280.08/x
  3. Step 3: Cross multiply
    12,314.23x = 16,994.89 × 7,280.08
  4. Step 4: Simplify right side
    12,314.23x = 123,724,158.79
  5. Step 5: Solve for x
    x = 123,724,158.79/12,314.23
  6. Step 6: Final answer
    x = 10,047.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.