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Finding the Fourth Proportional to 16,788.74, 25,148.54 and 9,846.50

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Solution

The fourth proportional to 16,788.74, 25,148.54 and 9,846.50 is: 14,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,788.74 : 25,148.54 = 9,846.50 : x
  2. Step 2: Convert to fraction form
    16,788.74/25,148.54 = 9,846.50/x
  3. Step 3: Cross multiply
    16,788.74x = 25,148.54 × 9,846.50
  4. Step 4: Simplify right side
    16,788.74x = 247,625,099.11
  5. Step 5: Solve for x
    x = 247,625,099.11/16,788.74
  6. Step 6: Final answer
    x = 14,749.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.