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Finding the Fourth Proportional to 23,564.84, 32,520.10 and 12,954.74

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Solution

The fourth proportional to 23,564.84, 32,520.10 and 12,954.74 is: 17,877.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564.84 : 32,520.10 = 12,954.74 : x
  2. Step 2: Convert to fraction form
    23,564.84/32,520.10 = 12,954.74/x
  3. Step 3: Cross multiply
    23,564.84x = 32,520.10 × 12,954.74
  4. Step 4: Simplify right side
    23,564.84x = 421,289,440.27
  5. Step 5: Solve for x
    x = 421,289,440.27/23,564.84
  6. Step 6: Final answer
    x = 17,877.88

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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.