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Finding the Fourth Proportional to 22,188.50, 33,181.66 and 16,570.11

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Solution

The fourth proportional to 22,188.50, 33,181.66 and 16,570.11 is: 24,779.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,188.50 : 33,181.66 = 16,570.11 : x
  2. Step 2: Convert to fraction form
    22,188.50/33,181.66 = 16,570.11/x
  3. Step 3: Cross multiply
    22,188.50x = 33,181.66 × 16,570.11
  4. Step 4: Simplify right side
    22,188.50x = 549,823,756.18
  5. Step 5: Solve for x
    x = 549,823,756.18/22,188.50
  6. Step 6: Final answer
    x = 24,779.67

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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.