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Finding the Fourth Proportional to 23,205.35, 32,023.42 and 12,594.98

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Solution

The fourth proportional to 23,205.35, 32,023.42 and 12,594.98 is: 17,381.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.35 : 32,023.42 = 12,594.98 : x
  2. Step 2: Convert to fraction form
    23,205.35/32,023.42 = 12,594.98/x
  3. Step 3: Cross multiply
    23,205.35x = 32,023.42 × 12,594.98
  4. Step 4: Simplify right side
    23,205.35x = 403,334,334.43
  5. Step 5: Solve for x
    x = 403,334,334.43/23,205.35
  6. Step 6: Final answer
    x = 17,381.09

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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.