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Finding the Fourth Proportional to 16,008.02, 24,009.29 and 6,142.22

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Solution

The fourth proportional to 16,008.02, 24,009.29 and 6,142.22 is: 9,212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,008.02 : 24,009.29 = 6,142.22 : x
  2. Step 2: Convert to fraction form
    16,008.02/24,009.29 = 6,142.22/x
  3. Step 3: Cross multiply
    16,008.02x = 24,009.29 × 6,142.22
  4. Step 4: Simplify right side
    16,008.02x = 147,470,341.22
  5. Step 5: Solve for x
    x = 147,470,341.22/16,008.02
  6. Step 6: Final answer
    x = 9,212.28

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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.