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Finding the Fourth Proportional to 19,224, 28,837.08 and 5,374.08

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Solution

The fourth proportional to 19,224, 28,837.08 and 5,374.08 is: 8,061.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,224 : 28,837.08 = 5,374.08 : x
  2. Step 2: Convert to fraction form
    19,224/28,837.08 = 5,374.08/x
  3. Step 3: Cross multiply
    19,224x = 28,837.08 × 5,374.08
  4. Step 4: Simplify right side
    19,224x = 154,972,774.89
  5. Step 5: Solve for x
    x = 154,972,774.89/19,224
  6. Step 6: Final answer
    x = 8,061.42

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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.