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Finding the Fourth Proportional to 16,008.64, 22,094.81 and 9,548.69

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Solution

The fourth proportional to 16,008.64, 22,094.81 and 9,548.69 is: 13,178.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,008.64 : 22,094.81 = 9,548.69 : x
  2. Step 2: Convert to fraction form
    16,008.64/22,094.81 = 9,548.69/x
  3. Step 3: Cross multiply
    16,008.64x = 22,094.81 × 9,548.69
  4. Step 4: Simplify right side
    16,008.64x = 210,976,491.30
  5. Step 5: Solve for x
    x = 210,976,491.30/16,008.64
  6. Step 6: Final answer
    x = 13,178.91

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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.