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Finding the Fourth Proportional to 16,342, 24,513 and 4,030

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Solution

The fourth proportional to 16,342, 24,513 and 4,030 is: 6,045

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,342 : 24,513 = 4,030 : x
  2. Step 2: Convert to fraction form
    16,342/24,513 = 4,030/x
  3. Step 3: Cross multiply
    16,342x = 24,513 × 4,030
  4. Step 4: Simplify right side
    16,342x = 98,787,390
  5. Step 5: Solve for x
    x = 98,787,390/16,342
  6. Step 6: Final answer
    x = 6,045

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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.