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Finding the Fourth Proportional to 16,045.66, 24,059.68 and 4,949.26

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Solution

The fourth proportional to 16,045.66, 24,059.68 and 4,949.26 is: 7,421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,045.66 : 24,059.68 = 4,949.26 : x
  2. Step 2: Convert to fraction form
    16,045.66/24,059.68 = 4,949.26/x
  3. Step 3: Cross multiply
    16,045.66x = 24,059.68 × 4,949.26
  4. Step 4: Simplify right side
    16,045.66x = 119,077,611.84
  5. Step 5: Solve for x
    x = 119,077,611.84/16,045.66
  6. Step 6: Final answer
    x = 7,421.17

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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.