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Finding the Fourth Proportional to 18,828.68, 25,984.50 and 10,445

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Solution

The fourth proportional to 18,828.68, 25,984.50 and 10,445 is: 14,414.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,828.68 : 25,984.50 = 10,445 : x
  2. Step 2: Convert to fraction form
    18,828.68/25,984.50 = 10,445/x
  3. Step 3: Cross multiply
    18,828.68x = 25,984.50 × 10,445
  4. Step 4: Simplify right side
    18,828.68x = 271,408,102.50
  5. Step 5: Solve for x
    x = 271,408,102.50/18,828.68
  6. Step 6: Final answer
    x = 14,414.61

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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.