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Finding the Fourth Proportional to 17,082.60, 25,623.90 and 12,071.40

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Solution

The fourth proportional to 17,082.60, 25,623.90 and 12,071.40 is: 18,107.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,082.60 : 25,623.90 = 12,071.40 : x
  2. Step 2: Convert to fraction form
    17,082.60/25,623.90 = 12,071.40/x
  3. Step 3: Cross multiply
    17,082.60x = 25,623.90 × 12,071.40
  4. Step 4: Simplify right side
    17,082.60x = 309,316,346.46
  5. Step 5: Solve for x
    x = 309,316,346.46/17,082.60
  6. Step 6: Final answer
    x = 18,107.10

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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.