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Finding the Fourth Proportional to 16,305.50, 24,457.40 and 4,618.76

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Solution

The fourth proportional to 16,305.50, 24,457.40 and 4,618.76 is: 6,927.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,305.50 : 24,457.40 = 4,618.76 : x
  2. Step 2: Convert to fraction form
    16,305.50/24,457.40 = 4,618.76/x
  3. Step 3: Cross multiply
    16,305.50x = 24,457.40 × 4,618.76
  4. Step 4: Simplify right side
    16,305.50x = 112,962,860.82
  5. Step 5: Solve for x
    x = 112,962,860.82/16,305.50
  6. Step 6: Final answer
    x = 6,927.90

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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.