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Finding the Fourth Proportional to 28,419.42, 42,627.60 and 8,697.98

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Solution

The fourth proportional to 28,419.42, 42,627.60 and 8,697.98 is: 13,046.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,419.42 : 42,627.60 = 8,697.98 : x
  2. Step 2: Convert to fraction form
    28,419.42/42,627.60 = 8,697.98/x
  3. Step 3: Cross multiply
    28,419.42x = 42,627.60 × 8,697.98
  4. Step 4: Simplify right side
    28,419.42x = 370,774,012.25
  5. Step 5: Solve for x
    x = 370,774,012.25/28,419.42
  6. Step 6: Final answer
    x = 13,046.50

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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.