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Finding the Fourth Proportional to 14,006.30, 20,980.65 and 14,006.30

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Solution

The fourth proportional to 14,006.30, 20,980.65 and 14,006.30 is: 20,980.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,006.30 : 20,980.65 = 14,006.30 : x
  2. Step 2: Convert to fraction form
    14,006.30/20,980.65 = 14,006.30/x
  3. Step 3: Cross multiply
    14,006.30x = 20,980.65 × 14,006.30
  4. Step 4: Simplify right side
    14,006.30x = 293,861,278.10
  5. Step 5: Solve for x
    x = 293,861,278.10/14,006.30
  6. Step 6: Final answer
    x = 20,980.65

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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.