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Finding the Fourth Proportional to 16,580.80, 24,879.30 and 7,814.20

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Solution

The fourth proportional to 16,580.80, 24,879.30 and 7,814.20 is: 11,725.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,580.80 : 24,879.30 = 7,814.20 : x
  2. Step 2: Convert to fraction form
    16,580.80/24,879.30 = 7,814.20/x
  3. Step 3: Cross multiply
    16,580.80x = 24,879.30 × 7,814.20
  4. Step 4: Simplify right side
    16,580.80x = 194,411,826.06
  5. Step 5: Solve for x
    x = 194,411,826.06/16,580.80
  6. Step 6: Final answer
    x = 11,725.12

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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.