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Finding the Fourth Proportional to 17,764.31, 24,514.95 and 9,806.54

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Solution

The fourth proportional to 17,764.31, 24,514.95 and 9,806.54 is: 13,533.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,764.31 : 24,514.95 = 9,806.54 : x
  2. Step 2: Convert to fraction form
    17,764.31/24,514.95 = 9,806.54/x
  3. Step 3: Cross multiply
    17,764.31x = 24,514.95 × 9,806.54
  4. Step 4: Simplify right side
    17,764.31x = 240,406,899.06
  5. Step 5: Solve for x
    x = 240,406,899.06/17,764.31
  6. Step 6: Final answer
    x = 13,533.14

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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.