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Finding the Fourth Proportional to 17,805.64, 26,724.70 and 9,492.68

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Solution

The fourth proportional to 17,805.64, 26,724.70 and 9,492.68 is: 14,247.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,805.64 : 26,724.70 = 9,492.68 : x
  2. Step 2: Convert to fraction form
    17,805.64/26,724.70 = 9,492.68/x
  3. Step 3: Cross multiply
    17,805.64x = 26,724.70 × 9,492.68
  4. Step 4: Simplify right side
    17,805.64x = 253,689,025.20
  5. Step 5: Solve for x
    x = 253,689,025.20/17,805.64
  6. Step 6: Final answer
    x = 14,247.68

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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.