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Finding the Fourth Proportional to 14,354.95, 19,810.49 and 7,982.20

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Solution

The fourth proportional to 14,354.95, 19,810.49 and 7,982.20 is: 11,015.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,354.95 : 19,810.49 = 7,982.20 : x
  2. Step 2: Convert to fraction form
    14,354.95/19,810.49 = 7,982.20/x
  3. Step 3: Cross multiply
    14,354.95x = 19,810.49 × 7,982.20
  4. Step 4: Simplify right side
    14,354.95x = 158,131,293.28
  5. Step 5: Solve for x
    x = 158,131,293.28/14,354.95
  6. Step 6: Final answer
    x = 11,015.80

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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.