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Finding the Fourth Proportional to 15,113.61, 22,662.63 and 6,786.51

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Solution

The fourth proportional to 15,113.61, 22,662.63 and 6,786.51 is: 10,176.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,113.61 : 22,662.63 = 6,786.51 : x
  2. Step 2: Convert to fraction form
    15,113.61/22,662.63 = 6,786.51/x
  3. Step 3: Cross multiply
    15,113.61x = 22,662.63 × 6,786.51
  4. Step 4: Simplify right side
    15,113.61x = 153,800,165.12
  5. Step 5: Solve for x
    x = 153,800,165.12/15,113.61
  6. Step 6: Final answer
    x = 10,176.27

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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.