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Finding the Fourth Proportional to 15,909.85, 23,865.05 and 4,816.68

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Solution

The fourth proportional to 15,909.85, 23,865.05 and 4,816.68 is: 7,225.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,909.85 : 23,865.05 = 4,816.68 : x
  2. Step 2: Convert to fraction form
    15,909.85/23,865.05 = 4,816.68/x
  3. Step 3: Cross multiply
    15,909.85x = 23,865.05 × 4,816.68
  4. Step 4: Simplify right side
    15,909.85x = 114,950,309.03
  5. Step 5: Solve for x
    x = 114,950,309.03/15,909.85
  6. Step 6: Final answer
    x = 7,225.10

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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.