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Finding the Fourth Proportional to 16,235.62, 24,357.12 and 5,143

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Solution

The fourth proportional to 16,235.62, 24,357.12 and 5,143 is: 7,715.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,235.62 : 24,357.12 = 5,143 : x
  2. Step 2: Convert to fraction form
    16,235.62/24,357.12 = 5,143/x
  3. Step 3: Cross multiply
    16,235.62x = 24,357.12 × 5,143
  4. Step 4: Simplify right side
    16,235.62x = 125,268,668.16
  5. Step 5: Solve for x
    x = 125,268,668.16/16,235.62
  6. Step 6: Final answer
    x = 7,715.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.