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Finding the Fourth Proportional to 16,511.34, 24,771 and 9,495.84

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Solution

The fourth proportional to 16,511.34, 24,771 and 9,495.84 is: 14,246.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,511.34 : 24,771 = 9,495.84 : x
  2. Step 2: Convert to fraction form
    16,511.34/24,771 = 9,495.84/x
  3. Step 3: Cross multiply
    16,511.34x = 24,771 × 9,495.84
  4. Step 4: Simplify right side
    16,511.34x = 235,221,452.64
  5. Step 5: Solve for x
    x = 235,221,452.64/16,511.34
  6. Step 6: Final answer
    x = 14,246.05

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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.