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Finding the Fourth Proportional to 16,552.76, 24,840.06 and 7,788.35

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Solution

The fourth proportional to 16,552.76, 24,840.06 and 7,788.35 is: 11,687.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,552.76 : 24,840.06 = 7,788.35 : x
  2. Step 2: Convert to fraction form
    16,552.76/24,840.06 = 7,788.35/x
  3. Step 3: Cross multiply
    16,552.76x = 24,840.06 × 7,788.35
  4. Step 4: Simplify right side
    16,552.76x = 193,463,143.40
  5. Step 5: Solve for x
    x = 193,463,143.40/16,552.76
  6. Step 6: Final answer
    x = 11,687.67

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Why These Related Problems?

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