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Finding the Fourth Proportional to 28,368.90, 42,559.56 and 8,649

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Solution

The fourth proportional to 28,368.90, 42,559.56 and 8,649 is: 12,975.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,368.90 : 42,559.56 = 8,649 : x
  2. Step 2: Convert to fraction form
    28,368.90/42,559.56 = 8,649/x
  3. Step 3: Cross multiply
    28,368.90x = 42,559.56 × 8,649
  4. Step 4: Simplify right side
    28,368.90x = 368,097,634.44
  5. Step 5: Solve for x
    x = 368,097,634.44/28,368.90
  6. Step 6: Final answer
    x = 12,975.39

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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.