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Finding the Fourth Proportional to 14,782.15, 22,173.27 and 6,014.98

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Solution

The fourth proportional to 14,782.15, 22,173.27 and 6,014.98 is: 9,022.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.15 : 22,173.27 = 6,014.98 : x
  2. Step 2: Convert to fraction form
    14,782.15/22,173.27 = 6,014.98/x
  3. Step 3: Cross multiply
    14,782.15x = 22,173.27 × 6,014.98
  4. Step 4: Simplify right side
    14,782.15x = 133,371,775.58
  5. Step 5: Solve for x
    x = 133,371,775.58/14,782.15
  6. Step 6: Final answer
    x = 9,022.49

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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.