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Finding the Fourth Proportional to 12,376.20, 18,547.46 and 6,821.22

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Solution

The fourth proportional to 12,376.20, 18,547.46 and 6,821.22 is: 10,222.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,376.20 : 18,547.46 = 6,821.22 : x
  2. Step 2: Convert to fraction form
    12,376.20/18,547.46 = 6,821.22/x
  3. Step 3: Cross multiply
    12,376.20x = 18,547.46 × 6,821.22
  4. Step 4: Simplify right side
    12,376.20x = 126,516,271.00
  5. Step 5: Solve for x
    x = 126,516,271.00/12,376.20
  6. Step 6: Final answer
    x = 10,222.55

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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.