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Finding the Fourth Proportional to 16,077.46, 24,116.19 and 4,390.99

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Solution

The fourth proportional to 16,077.46, 24,116.19 and 4,390.99 is: 6,586.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,077.46 : 24,116.19 = 4,390.99 : x
  2. Step 2: Convert to fraction form
    16,077.46/24,116.19 = 4,390.99/x
  3. Step 3: Cross multiply
    16,077.46x = 24,116.19 × 4,390.99
  4. Step 4: Simplify right side
    16,077.46x = 105,893,949.13
  5. Step 5: Solve for x
    x = 105,893,949.13/16,077.46
  6. Step 6: Final answer
    x = 6,586.49

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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.