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Finding the Fourth Proportional to 16,405.40, 24,608.86 and 5,312.96

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Solution

The fourth proportional to 16,405.40, 24,608.86 and 5,312.96 is: 7,969.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.40 : 24,608.86 = 5,312.96 : x
  2. Step 2: Convert to fraction form
    16,405.40/24,608.86 = 5,312.96/x
  3. Step 3: Cross multiply
    16,405.40x = 24,608.86 × 5,312.96
  4. Step 4: Simplify right side
    16,405.40x = 130,745,888.83
  5. Step 5: Solve for x
    x = 130,745,888.83/16,405.40
  6. Step 6: Final answer
    x = 7,969.69

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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.