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Finding the Fourth Proportional to 14,123.70, 21,209.85 and 9,992.70

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Solution

The fourth proportional to 14,123.70, 21,209.85 and 9,992.70 is: 15,006.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,123.70 : 21,209.85 = 9,992.70 : x
  2. Step 2: Convert to fraction form
    14,123.70/21,209.85 = 9,992.70/x
  3. Step 3: Cross multiply
    14,123.70x = 21,209.85 × 9,992.70
  4. Step 4: Simplify right side
    14,123.70x = 211,943,668.10
  5. Step 5: Solve for x
    x = 211,943,668.10/14,123.70
  6. Step 6: Final answer
    x = 15,006.24

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1.5x scale

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.