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Finding the Fourth Proportional to 10,720.43, 16,048.74 and 9,594.12

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Solution

The fourth proportional to 10,720.43, 16,048.74 and 9,594.12 is: 14,362.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720.43 : 16,048.74 = 9,594.12 : x
  2. Step 2: Convert to fraction form
    10,720.43/16,048.74 = 9,594.12/x
  3. Step 3: Cross multiply
    10,720.43x = 16,048.74 × 9,594.12
  4. Step 4: Simplify right side
    10,720.43x = 153,973,633.57
  5. Step 5: Solve for x
    x = 153,973,633.57/10,720.43
  6. Step 6: Final answer
    x = 14,362.64

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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.