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Finding the Fourth Proportional to 16,051.42, 24,077.18 and 4,364.63

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Solution

The fourth proportional to 16,051.42, 24,077.18 and 4,364.63 is: 6,546.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,051.42 : 24,077.18 = 4,364.63 : x
  2. Step 2: Convert to fraction form
    16,051.42/24,077.18 = 4,364.63/x
  3. Step 3: Cross multiply
    16,051.42x = 24,077.18 × 4,364.63
  4. Step 4: Simplify right side
    16,051.42x = 105,087,982.14
  5. Step 5: Solve for x
    x = 105,087,982.14/16,051.42
  6. Step 6: Final answer
    x = 6,546.96

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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.