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Finding the Fourth Proportional to 16,187.84, 24,288.74 and 11,750.40

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Solution

The fourth proportional to 16,187.84, 24,288.74 and 11,750.40 is: 17,630.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,187.84 : 24,288.74 = 11,750.40 : x
  2. Step 2: Convert to fraction form
    16,187.84/24,288.74 = 11,750.40/x
  3. Step 3: Cross multiply
    16,187.84x = 24,288.74 × 11,750.40
  4. Step 4: Simplify right side
    16,187.84x = 285,402,410.50
  5. Step 5: Solve for x
    x = 285,402,410.50/16,187.84
  6. Step 6: Final answer
    x = 17,630.67

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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.