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Finding the Fourth Proportional to 28,962, 39,967.56 and 15,714

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Solution

The fourth proportional to 28,962, 39,967.56 and 15,714 is: 21,685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,962 : 39,967.56 = 15,714 : x
  2. Step 2: Convert to fraction form
    28,962/39,967.56 = 15,714/x
  3. Step 3: Cross multiply
    28,962x = 39,967.56 × 15,714
  4. Step 4: Simplify right side
    28,962x = 628,050,237.84
  5. Step 5: Solve for x
    x = 628,050,237.84/28,962
  6. Step 6: Final answer
    x = 21,685.32

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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.