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Finding the Fourth Proportional to 28,274.88, 42,361.44 and 15,780

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Solution

The fourth proportional to 28,274.88, 42,361.44 and 15,780 is: 23,641.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,274.88 : 42,361.44 = 15,780 : x
  2. Step 2: Convert to fraction form
    28,274.88/42,361.44 = 15,780/x
  3. Step 3: Cross multiply
    28,274.88x = 42,361.44 × 15,780
  4. Step 4: Simplify right side
    28,274.88x = 668,463,523.20
  5. Step 5: Solve for x
    x = 668,463,523.20/28,274.88
  6. Step 6: Final answer
    x = 23,641.60

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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.