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Finding the Fourth Proportional to 23,888.70, 35,823.83 and 7,874.39

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Solution

The fourth proportional to 23,888.70, 35,823.83 and 7,874.39 is: 11,808.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,888.70 : 35,823.83 = 7,874.39 : x
  2. Step 2: Convert to fraction form
    23,888.70/35,823.83 = 7,874.39/x
  3. Step 3: Cross multiply
    23,888.70x = 35,823.83 × 7,874.39
  4. Step 4: Simplify right side
    23,888.70x = 282,090,808.71
  5. Step 5: Solve for x
    x = 282,090,808.71/23,888.70
  6. Step 6: Final answer
    x = 11,808.55

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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.