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Finding the Fourth Proportional to 21,668.09, 32,514.12 and 10,574.87

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Solution

The fourth proportional to 21,668.09, 32,514.12 and 10,574.87 is: 15,868.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,668.09 : 32,514.12 = 10,574.87 : x
  2. Step 2: Convert to fraction form
    21,668.09/32,514.12 = 10,574.87/x
  3. Step 3: Cross multiply
    21,668.09x = 32,514.12 × 10,574.87
  4. Step 4: Simplify right side
    21,668.09x = 343,832,429.59
  5. Step 5: Solve for x
    x = 343,832,429.59/21,668.09
  6. Step 6: Final answer
    x = 15,868.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.