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Finding the Fourth Proportional to 14,423.01, 19,898.41 and 8,452.50

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Solution

The fourth proportional to 14,423.01, 19,898.41 and 8,452.50 is: 11,661.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,423.01 : 19,898.41 = 8,452.50 : x
  2. Step 2: Convert to fraction form
    14,423.01/19,898.41 = 8,452.50/x
  3. Step 3: Cross multiply
    14,423.01x = 19,898.41 × 8,452.50
  4. Step 4: Simplify right side
    14,423.01x = 168,191,342.55
  5. Step 5: Solve for x
    x = 168,191,342.55/14,423.01
  6. Step 6: Final answer
    x = 11,661.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.