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Finding the Fourth Proportional to 18,913.50, 28,374.94 and 7,823.39

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Solution

The fourth proportional to 18,913.50, 28,374.94 and 7,823.39 is: 11,737.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,913.50 : 28,374.94 = 7,823.39 : x
  2. Step 2: Convert to fraction form
    18,913.50/28,374.94 = 7,823.39/x
  3. Step 3: Cross multiply
    18,913.50x = 28,374.94 × 7,823.39
  4. Step 4: Simplify right side
    18,913.50x = 221,988,089.75
  5. Step 5: Solve for x
    x = 221,988,089.75/18,913.50
  6. Step 6: Final answer
    x = 11,737.02

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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.