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Finding the Fourth Proportional to 23,625, 32,602.50 and 13,014.63

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Solution

The fourth proportional to 23,625, 32,602.50 and 13,014.63 is: 17,960.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,625 : 32,602.50 = 13,014.63 : x
  2. Step 2: Convert to fraction form
    23,625/32,602.50 = 13,014.63/x
  3. Step 3: Cross multiply
    23,625x = 32,602.50 × 13,014.63
  4. Step 4: Simplify right side
    23,625x = 424,309,474.58
  5. Step 5: Solve for x
    x = 424,309,474.58/23,625
  6. Step 6: Final answer
    x = 17,960.19

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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.