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Finding the Fourth Proportional to 14,310.58, 19,747.73 and 8,022.82

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Solution

The fourth proportional to 14,310.58, 19,747.73 and 8,022.82 is: 11,071.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,310.58 : 19,747.73 = 8,022.82 : x
  2. Step 2: Convert to fraction form
    14,310.58/19,747.73 = 8,022.82/x
  3. Step 3: Cross multiply
    14,310.58x = 19,747.73 × 8,022.82
  4. Step 4: Simplify right side
    14,310.58x = 158,432,483.20
  5. Step 5: Solve for x
    x = 158,432,483.20/14,310.58
  6. Step 6: Final answer
    x = 11,071.00

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1.5x scale

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.