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Finding the Fourth Proportional to 23,523.23, 32,461.06 and 12,913.11

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Solution

The fourth proportional to 23,523.23, 32,461.06 and 12,913.11 is: 17,819.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,523.23 : 32,461.06 = 12,913.11 : x
  2. Step 2: Convert to fraction form
    23,523.23/32,461.06 = 12,913.11/x
  3. Step 3: Cross multiply
    23,523.23x = 32,461.06 × 12,913.11
  4. Step 4: Simplify right side
    23,523.23x = 419,173,238.50
  5. Step 5: Solve for x
    x = 419,173,238.50/23,523.23
  6. Step 6: Final answer
    x = 17,819.54

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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.