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Finding the Fourth Proportional to 14,400.02, 21,600.04 and 9,491.57

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Solution

The fourth proportional to 14,400.02, 21,600.04 and 9,491.57 is: 14,237.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,400.02 : 21,600.04 = 9,491.57 : x
  2. Step 2: Convert to fraction form
    14,400.02/21,600.04 = 9,491.57/x
  3. Step 3: Cross multiply
    14,400.02x = 21,600.04 × 9,491.57
  4. Step 4: Simplify right side
    14,400.02x = 205,018,321.93
  5. Step 5: Solve for x
    x = 205,018,321.93/14,400.02
  6. Step 6: Final answer
    x = 14,237.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.