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Finding the Fourth Proportional to 24,300, 36,367.70 and 14,945.96

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Solution

The fourth proportional to 24,300, 36,367.70 and 14,945.96 is: 22,368.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,300 : 36,367.70 = 14,945.96 : x
  2. Step 2: Convert to fraction form
    24,300/36,367.70 = 14,945.96/x
  3. Step 3: Cross multiply
    24,300x = 36,367.70 × 14,945.96
  4. Step 4: Simplify right side
    24,300x = 543,549,932.92
  5. Step 5: Solve for x
    x = 543,549,932.92/24,300
  6. Step 6: Final answer
    x = 22,368.31

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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.