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Finding the Fourth Proportional to 12,605.24, 18,908.10 and 5,210.60

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Solution

The fourth proportional to 12,605.24, 18,908.10 and 5,210.60 is: 7,816.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,605.24 : 18,908.10 = 5,210.60 : x
  2. Step 2: Convert to fraction form
    12,605.24/18,908.10 = 5,210.60/x
  3. Step 3: Cross multiply
    12,605.24x = 18,908.10 × 5,210.60
  4. Step 4: Simplify right side
    12,605.24x = 98,522,545.86
  5. Step 5: Solve for x
    x = 98,522,545.86/12,605.24
  6. Step 6: Final answer
    x = 7,816.00

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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.