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Finding the Fourth Proportional to 16,646.58, 24,961.25 and 6,113.90

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Solution

The fourth proportional to 16,646.58, 24,961.25 and 6,113.90 is: 9,167.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,646.58 : 24,961.25 = 6,113.90 : x
  2. Step 2: Convert to fraction form
    16,646.58/24,961.25 = 6,113.90/x
  3. Step 3: Cross multiply
    16,646.58x = 24,961.25 × 6,113.90
  4. Step 4: Simplify right side
    16,646.58x = 152,610,431.00
  5. Step 5: Solve for x
    x = 152,610,431.00/16,646.58
  6. Step 6: Final answer
    x = 9,167.67

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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.