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Finding the Fourth Proportional to 16,007.10, 22,089.30 and 9,200.94

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Solution

The fourth proportional to 16,007.10, 22,089.30 and 9,200.94 is: 12,697.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.10 : 22,089.30 = 9,200.94 : x
  2. Step 2: Convert to fraction form
    16,007.10/22,089.30 = 9,200.94/x
  3. Step 3: Cross multiply
    16,007.10x = 22,089.30 × 9,200.94
  4. Step 4: Simplify right side
    16,007.10x = 203,242,323.94
  5. Step 5: Solve for x
    x = 203,242,323.94/16,007.10
  6. Step 6: Final answer
    x = 12,697.01

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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.