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Finding the Fourth Proportional to 19,233.87, 28,828.73 and 8,823.75

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Solution

The fourth proportional to 19,233.87, 28,828.73 and 8,823.75 is: 13,225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,233.87 : 28,828.73 = 8,823.75 : x
  2. Step 2: Convert to fraction form
    19,233.87/28,828.73 = 8,823.75/x
  3. Step 3: Cross multiply
    19,233.87x = 28,828.73 × 8,823.75
  4. Step 4: Simplify right side
    19,233.87x = 254,377,506.34
  5. Step 5: Solve for x
    x = 254,377,506.34/19,233.87
  6. Step 6: Final answer
    x = 13,225.50

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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.