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Finding the Fourth Proportional to 10,271.43, 15,415.79 and 9,623.43

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Solution

The fourth proportional to 10,271.43, 15,415.79 and 9,623.43 is: 14,443.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.43 : 15,415.79 = 9,623.43 : x
  2. Step 2: Convert to fraction form
    10,271.43/15,415.79 = 9,623.43/x
  3. Step 3: Cross multiply
    10,271.43x = 15,415.79 × 9,623.43
  4. Step 4: Simplify right side
    10,271.43x = 148,352,727.84
  5. Step 5: Solve for x
    x = 148,352,727.84/10,271.43
  6. Step 6: Final answer
    x = 14,443.24

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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.