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Finding the Fourth Proportional to 15,658.45, 23,483.52 and 6,776.86

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Solution

The fourth proportional to 15,658.45, 23,483.52 and 6,776.86 is: 10,163.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,658.45 : 23,483.52 = 6,776.86 : x
  2. Step 2: Convert to fraction form
    15,658.45/23,483.52 = 6,776.86/x
  3. Step 3: Cross multiply
    15,658.45x = 23,483.52 × 6,776.86
  4. Step 4: Simplify right side
    15,658.45x = 159,144,527.35
  5. Step 5: Solve for x
    x = 159,144,527.35/15,658.45
  6. Step 6: Final answer
    x = 10,163.49

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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.