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Finding the Fourth Proportional to 23,573.38, 32,531.72 and 12,964

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Solution

The fourth proportional to 23,573.38, 32,531.72 and 12,964 is: 17,890.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,573.38 : 32,531.72 = 12,964 : x
  2. Step 2: Convert to fraction form
    23,573.38/32,531.72 = 12,964/x
  3. Step 3: Cross multiply
    23,573.38x = 32,531.72 × 12,964
  4. Step 4: Simplify right side
    23,573.38x = 421,741,218.08
  5. Step 5: Solve for x
    x = 421,741,218.08/23,573.38
  6. Step 6: Final answer
    x = 17,890.57

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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.