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Finding the Fourth Proportional to 28,074.84, 38,740.14 and 15,496.44

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Solution

The fourth proportional to 28,074.84, 38,740.14 and 15,496.44 is: 21,383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,074.84 : 38,740.14 = 15,496.44 : x
  2. Step 2: Convert to fraction form
    28,074.84/38,740.14 = 15,496.44/x
  3. Step 3: Cross multiply
    28,074.84x = 38,740.14 × 15,496.44
  4. Step 4: Simplify right side
    28,074.84x = 600,334,255.10
  5. Step 5: Solve for x
    x = 600,334,255.10/28,074.84
  6. Step 6: Final answer
    x = 21,383.35

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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.