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Finding the Fourth Proportional to 28,144, 38,838.72 and 15,569.56

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Solution

The fourth proportional to 28,144, 38,838.72 and 15,569.56 is: 21,485.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,144 : 38,838.72 = 15,569.56 : x
  2. Step 2: Convert to fraction form
    28,144/38,838.72 = 15,569.56/x
  3. Step 3: Cross multiply
    28,144x = 38,838.72 × 15,569.56
  4. Step 4: Simplify right side
    28,144x = 604,701,781.36
  5. Step 5: Solve for x
    x = 604,701,781.36/28,144
  6. Step 6: Final answer
    x = 21,485.99

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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.