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Finding the Fourth Proportional to 28,224.50, 38,949 and 15,477.44

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Solution

The fourth proportional to 28,224.50, 38,949 and 15,477.44 is: 21,358.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,224.50 : 38,949 = 15,477.44 : x
  2. Step 2: Convert to fraction form
    28,224.50/38,949 = 15,477.44/x
  3. Step 3: Cross multiply
    28,224.50x = 38,949 × 15,477.44
  4. Step 4: Simplify right side
    28,224.50x = 602,830,810.56
  5. Step 5: Solve for x
    x = 602,830,810.56/28,224.50
  6. Step 6: Final answer
    x = 21,358.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.