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Finding the Fourth Proportional to 23,205.52, 32,023.14 and 13,133.78

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Solution

The fourth proportional to 23,205.52, 32,023.14 and 13,133.78 is: 18,124.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.52 : 32,023.14 = 13,133.78 : x
  2. Step 2: Convert to fraction form
    23,205.52/32,023.14 = 13,133.78/x
  3. Step 3: Cross multiply
    23,205.52x = 32,023.14 × 13,133.78
  4. Step 4: Simplify right side
    23,205.52x = 420,584,875.67
  5. Step 5: Solve for x
    x = 420,584,875.67/23,205.52
  6. Step 6: Final answer
    x = 18,124.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.