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Finding the Fourth Proportional to 28,716.90, 43,075.32 and 8,997

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Solution

The fourth proportional to 28,716.90, 43,075.32 and 8,997 is: 13,495.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,716.90 : 43,075.32 = 8,997 : x
  2. Step 2: Convert to fraction form
    28,716.90/43,075.32 = 8,997/x
  3. Step 3: Cross multiply
    28,716.90x = 43,075.32 × 8,997
  4. Step 4: Simplify right side
    28,716.90x = 387,548,654.04
  5. Step 5: Solve for x
    x = 387,548,654.04/28,716.90
  6. Step 6: Final answer
    x = 13,495.49

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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.