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Finding the Fourth Proportional to 15,809.40, 23,721.48 and 7,043.40

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Solution

The fourth proportional to 15,809.40, 23,721.48 and 7,043.40 is: 10,568.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,809.40 : 23,721.48 = 7,043.40 : x
  2. Step 2: Convert to fraction form
    15,809.40/23,721.48 = 7,043.40/x
  3. Step 3: Cross multiply
    15,809.40x = 23,721.48 × 7,043.40
  4. Step 4: Simplify right side
    15,809.40x = 167,079,872.23
  5. Step 5: Solve for x
    x = 167,079,872.23/15,809.40
  6. Step 6: Final answer
    x = 10,568.39

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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.