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Finding the Fourth Proportional to 23,573.40, 32,531.85 and 12,818.90

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Solution

The fourth proportional to 23,573.40, 32,531.85 and 12,818.90 is: 17,690.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,573.40 : 32,531.85 = 12,818.90 : x
  2. Step 2: Convert to fraction form
    23,573.40/32,531.85 = 12,818.90/x
  3. Step 3: Cross multiply
    23,573.40x = 32,531.85 × 12,818.90
  4. Step 4: Simplify right side
    23,573.40x = 417,022,369.31
  5. Step 5: Solve for x
    x = 417,022,369.31/23,573.40
  6. Step 6: Final answer
    x = 17,690.38

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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.