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Finding the Fourth Proportional to 23,634.60, 32,615.60 and 13,024.24

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Solution

The fourth proportional to 23,634.60, 32,615.60 and 13,024.24 is: 17,973.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,634.60 : 32,615.60 = 13,024.24 : x
  2. Step 2: Convert to fraction form
    23,634.60/32,615.60 = 13,024.24/x
  3. Step 3: Cross multiply
    23,634.60x = 32,615.60 × 13,024.24
  4. Step 4: Simplify right side
    23,634.60x = 424,793,438.95
  5. Step 5: Solve for x
    x = 424,793,438.95/23,634.60
  6. Step 6: Final answer
    x = 17,973.37

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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.