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Finding the Fourth Proportional to 28,137.75, 38,830.10 and 15,564.39

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Solution

The fourth proportional to 28,137.75, 38,830.10 and 15,564.39 is: 21,478.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,137.75 : 38,830.10 = 15,564.39 : x
  2. Step 2: Convert to fraction form
    28,137.75/38,830.10 = 15,564.39/x
  3. Step 3: Cross multiply
    28,137.75x = 38,830.10 × 15,564.39
  4. Step 4: Simplify right side
    28,137.75x = 604,366,742.32
  5. Step 5: Solve for x
    x = 604,366,742.32/28,137.75
  6. Step 6: Final answer
    x = 21,478.86

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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.