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Finding the Fourth Proportional to 16,004.40, 22,080.24 and 9,289.50

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Solution

The fourth proportional to 16,004.40, 22,080.24 and 9,289.50 is: 12,816.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,004.40 : 22,080.24 = 9,289.50 : x
  2. Step 2: Convert to fraction form
    16,004.40/22,080.24 = 9,289.50/x
  3. Step 3: Cross multiply
    16,004.40x = 22,080.24 × 9,289.50
  4. Step 4: Simplify right side
    16,004.40x = 205,114,389.48
  5. Step 5: Solve for x
    x = 205,114,389.48/16,004.40
  6. Step 6: Final answer
    x = 12,816.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.