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Finding the Fourth Proportional to 23,563.88, 32,516.58 and 12,953

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Solution

The fourth proportional to 23,563.88, 32,516.58 and 12,953 is: 17,874.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,563.88 : 32,516.58 = 12,953 : x
  2. Step 2: Convert to fraction form
    23,563.88/32,516.58 = 12,953/x
  3. Step 3: Cross multiply
    23,563.88x = 32,516.58 × 12,953
  4. Step 4: Simplify right side
    23,563.88x = 421,187,260.74
  5. Step 5: Solve for x
    x = 421,187,260.74/23,563.88
  6. Step 6: Final answer
    x = 17,874.27

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1.5x scale

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.