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Finding the Fourth Proportional to 14,644.18, 21,978.57 and 6,330.54

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Solution

The fourth proportional to 14,644.18, 21,978.57 and 6,330.54 is: 9,501.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.18 : 21,978.57 = 6,330.54 : x
  2. Step 2: Convert to fraction form
    14,644.18/21,978.57 = 6,330.54/x
  3. Step 3: Cross multiply
    14,644.18x = 21,978.57 × 6,330.54
  4. Step 4: Simplify right side
    14,644.18x = 139,136,216.53
  5. Step 5: Solve for x
    x = 139,136,216.53/14,644.18
  6. Step 6: Final answer
    x = 9,501.13

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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.