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Finding the Fourth Proportional to 17,728.92, 26,586.90 and 7,335

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Solution

The fourth proportional to 17,728.92, 26,586.90 and 7,335 is: 10,999.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,728.92 : 26,586.90 = 7,335 : x
  2. Step 2: Convert to fraction form
    17,728.92/26,586.90 = 7,335/x
  3. Step 3: Cross multiply
    17,728.92x = 26,586.90 × 7,335
  4. Step 4: Simplify right side
    17,728.92x = 195,014,911.50
  5. Step 5: Solve for x
    x = 195,014,911.50/17,728.92
  6. Step 6: Final answer
    x = 10,999.82

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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.