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Finding the Fourth Proportional to 34,904.56, 52,356.84 and 16,438

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Solution

The fourth proportional to 34,904.56, 52,356.84 and 16,438 is: 24,657

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,904.56 : 52,356.84 = 16,438 : x
  2. Step 2: Convert to fraction form
    34,904.56/52,356.84 = 16,438/x
  3. Step 3: Cross multiply
    34,904.56x = 52,356.84 × 16,438
  4. Step 4: Simplify right side
    34,904.56x = 860,641,735.92
  5. Step 5: Solve for x
    x = 860,641,735.92/34,904.56
  6. Step 6: Final answer
    x = 24,657

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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.