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Finding the Fourth Proportional to 11,948.84, 17,876.94 and 8,624.74

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Solution

The fourth proportional to 11,948.84, 17,876.94 and 8,624.74 is: 12,903.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,948.84 : 17,876.94 = 8,624.74 : x
  2. Step 2: Convert to fraction form
    11,948.84/17,876.94 = 8,624.74/x
  3. Step 3: Cross multiply
    11,948.84x = 17,876.94 × 8,624.74
  4. Step 4: Simplify right side
    11,948.84x = 154,183,959.50
  5. Step 5: Solve for x
    x = 154,183,959.50/11,948.84
  6. Step 6: Final answer
    x = 12,903.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.