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Finding the Fourth Proportional to 12,316.30, 16,995.77 and 7,280.98

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Solution

The fourth proportional to 12,316.30, 16,995.77 and 7,280.98 is: 10,047.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,316.30 : 16,995.77 = 7,280.98 : x
  2. Step 2: Convert to fraction form
    12,316.30/16,995.77 = 7,280.98/x
  3. Step 3: Cross multiply
    12,316.30x = 16,995.77 × 7,280.98
  4. Step 4: Simplify right side
    12,316.30x = 123,745,861.45
  5. Step 5: Solve for x
    x = 123,745,861.45/12,316.30
  6. Step 6: Final answer
    x = 10,047.32

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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.