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Finding the Fourth Proportional to 23,573.20, 32,543.56 and 14,616.40

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Solution

The fourth proportional to 23,573.20, 32,543.56 and 14,616.40 is: 20,178.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,573.20 : 32,543.56 = 14,616.40 : x
  2. Step 2: Convert to fraction form
    23,573.20/32,543.56 = 14,616.40/x
  3. Step 3: Cross multiply
    23,573.20x = 32,543.56 × 14,616.40
  4. Step 4: Simplify right side
    23,573.20x = 475,669,690.38
  5. Step 5: Solve for x
    x = 475,669,690.38/23,573.20
  6. Step 6: Final answer
    x = 20,178.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.