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Finding the Fourth Proportional to 23,564.85, 32,520.05 and 12,954.70

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Solution

The fourth proportional to 23,564.85, 32,520.05 and 12,954.70 is: 17,877.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.85 : 32,520.05 = 12,954.70 : x
  2. Step 2: Convert to fraction form
    23,564.85/32,520.05 = 12,954.70/x
  3. Step 3: Cross multiply
    23,564.85x = 32,520.05 × 12,954.70
  4. Step 4: Simplify right side
    23,564.85x = 421,287,491.74
  5. Step 5: Solve for x
    x = 421,287,491.74/23,564.85
  6. Step 6: Final answer
    x = 17,877.79

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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.