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Finding the Fourth Proportional to 16,405.68, 24,608.72 and 4,719

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Solution

The fourth proportional to 16,405.68, 24,608.72 and 4,719 is: 7,078.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.68 : 24,608.72 = 4,719 : x
  2. Step 2: Convert to fraction form
    16,405.68/24,608.72 = 4,719/x
  3. Step 3: Cross multiply
    16,405.68x = 24,608.72 × 4,719
  4. Step 4: Simplify right side
    16,405.68x = 116,128,549.68
  5. Step 5: Solve for x
    x = 116,128,549.68/16,405.68
  6. Step 6: Final answer
    x = 7,078.56

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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.