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Finding the Fourth Proportional to 16,051.30, 24,077 and 4,364.52

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Solution

The fourth proportional to 16,051.30, 24,077 and 4,364.52 is: 6,546.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,051.30 : 24,077 = 4,364.52 : x
  2. Step 2: Convert to fraction form
    16,051.30/24,077 = 4,364.52/x
  3. Step 3: Cross multiply
    16,051.30x = 24,077 × 4,364.52
  4. Step 4: Simplify right side
    16,051.30x = 105,084,548.04
  5. Step 5: Solve for x
    x = 105,084,548.04/16,051.30
  6. Step 6: Final answer
    x = 6,546.79

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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.