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Finding the Fourth Proportional to 15,728.81, 21,705.38 and 9,018.37

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Solution

The fourth proportional to 15,728.81, 21,705.38 and 9,018.37 is: 12,445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,728.81 : 21,705.38 = 9,018.37 : x
  2. Step 2: Convert to fraction form
    15,728.81/21,705.38 = 9,018.37/x
  3. Step 3: Cross multiply
    15,728.81x = 21,705.38 × 9,018.37
  4. Step 4: Simplify right side
    15,728.81x = 195,747,039.30
  5. Step 5: Solve for x
    x = 195,747,039.30/15,728.81
  6. Step 6: Final answer
    x = 12,445.13

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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.