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Finding the Fourth Proportional to 17,802, 26,703.36 and 5,490

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Solution

The fourth proportional to 17,802, 26,703.36 and 5,490 is: 8,235.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,802 : 26,703.36 = 5,490 : x
  2. Step 2: Convert to fraction form
    17,802/26,703.36 = 5,490/x
  3. Step 3: Cross multiply
    17,802x = 26,703.36 × 5,490
  4. Step 4: Simplify right side
    17,802x = 146,601,446.40
  5. Step 5: Solve for x
    x = 146,601,446.40/17,802
  6. Step 6: Final answer
    x = 8,235.11

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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.