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Finding the Fourth Proportional to 14,643.18, 21,977.07 and 6,329.54

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Solution

The fourth proportional to 14,643.18, 21,977.07 and 6,329.54 is: 9,499.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,643.18 : 21,977.07 = 6,329.54 : x
  2. Step 2: Convert to fraction form
    14,643.18/21,977.07 = 6,329.54/x
  3. Step 3: Cross multiply
    14,643.18x = 21,977.07 × 6,329.54
  4. Step 4: Simplify right side
    14,643.18x = 139,104,810.46
  5. Step 5: Solve for x
    x = 139,104,810.46/14,643.18
  6. Step 6: Final answer
    x = 9,499.63

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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.