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Finding the Fourth Proportional to 23,652.74, 32,638.74 and 13,039.76

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Solution

The fourth proportional to 23,652.74, 32,638.74 and 13,039.76 is: 17,993.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,652.74 : 32,638.74 = 13,039.76 : x
  2. Step 2: Convert to fraction form
    23,652.74/32,638.74 = 13,039.76/x
  3. Step 3: Cross multiply
    23,652.74x = 32,638.74 × 13,039.76
  4. Step 4: Simplify right side
    23,652.74x = 425,601,336.30
  5. Step 5: Solve for x
    x = 425,601,336.30/23,652.74
  6. Step 6: Final answer
    x = 17,993.74

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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.