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Finding the Fourth Proportional to 30,198.16, 45,303.72 and 12,657.88

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Solution

The fourth proportional to 30,198.16, 45,303.72 and 12,657.88 is: 18,989.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,198.16 : 45,303.72 = 12,657.88 : x
  2. Step 2: Convert to fraction form
    30,198.16/45,303.72 = 12,657.88/x
  3. Step 3: Cross multiply
    30,198.16x = 45,303.72 × 12,657.88
  4. Step 4: Simplify right side
    30,198.16x = 573,449,051.31
  5. Step 5: Solve for x
    x = 573,449,051.31/30,198.16
  6. Step 6: Final answer
    x = 18,989.54

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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.