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Finding the Fourth Proportional to 15,707.20, 21,673.32 and 10,409.20

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Solution

The fourth proportional to 15,707.20, 21,673.32 and 10,409.20 is: 14,362.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,707.20 : 21,673.32 = 10,409.20 : x
  2. Step 2: Convert to fraction form
    15,707.20/21,673.32 = 10,409.20/x
  3. Step 3: Cross multiply
    15,707.20x = 21,673.32 × 10,409.20
  4. Step 4: Simplify right side
    15,707.20x = 225,601,922.54
  5. Step 5: Solve for x
    x = 225,601,922.54/15,707.20
  6. Step 6: Final answer
    x = 14,362.96

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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.