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Finding the Fourth Proportional to 21,668.59, 32,504.10 and 6,085

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Solution

The fourth proportional to 21,668.59, 32,504.10 and 6,085 is: 9,127.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,668.59 : 32,504.10 = 6,085 : x
  2. Step 2: Convert to fraction form
    21,668.59/32,504.10 = 6,085/x
  3. Step 3: Cross multiply
    21,668.59x = 32,504.10 × 6,085
  4. Step 4: Simplify right side
    21,668.59x = 197,787,448.50
  5. Step 5: Solve for x
    x = 197,787,448.50/21,668.59
  6. Step 6: Final answer
    x = 9,127.84

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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.