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Finding the Fourth Proportional to 12,376.16, 18,570.62 and 8,219.04

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Solution

The fourth proportional to 12,376.16, 18,570.62 and 8,219.04 is: 12,332.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376.16 : 18,570.62 = 8,219.04 : x
  2. Step 2: Convert to fraction form
    12,376.16/18,570.62 = 8,219.04/x
  3. Step 3: Cross multiply
    12,376.16x = 18,570.62 × 8,219.04
  4. Step 4: Simplify right side
    12,376.16x = 152,632,627.51
  5. Step 5: Solve for x
    x = 152,632,627.51/12,376.16
  6. Step 6: Final answer
    x = 12,332.80

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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.