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Finding the Fourth Proportional to 27,597.12, 38,071.08 and 16,982.88

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Solution

The fourth proportional to 27,597.12, 38,071.08 and 16,982.88 is: 23,428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,597.12 : 38,071.08 = 16,982.88 : x
  2. Step 2: Convert to fraction form
    27,597.12/38,071.08 = 16,982.88/x
  3. Step 3: Cross multiply
    27,597.12x = 38,071.08 × 16,982.88
  4. Step 4: Simplify right side
    27,597.12x = 646,556,583.11
  5. Step 5: Solve for x
    x = 646,556,583.11/27,597.12
  6. Step 6: Final answer
    x = 23,428.41

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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.