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Finding the Fourth Proportional to 28,647, 42,971.58 and 8,925.48

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Solution

The fourth proportional to 28,647, 42,971.58 and 8,925.48 is: 13,388.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,647 : 42,971.58 = 8,925.48 : x
  2. Step 2: Convert to fraction form
    28,647/42,971.58 = 8,925.48/x
  3. Step 3: Cross multiply
    28,647x = 42,971.58 × 8,925.48
  4. Step 4: Simplify right side
    28,647x = 383,541,977.86
  5. Step 5: Solve for x
    x = 383,541,977.86/28,647
  6. Step 6: Final answer
    x = 13,388.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.