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Finding the Fourth Proportional to 16,128.56, 22,256.22 and 9,056.06

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Solution

The fourth proportional to 16,128.56, 22,256.22 and 9,056.06 is: 12,496.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,128.56 : 22,256.22 = 9,056.06 : x
  2. Step 2: Convert to fraction form
    16,128.56/22,256.22 = 9,056.06/x
  3. Step 3: Cross multiply
    16,128.56x = 22,256.22 × 9,056.06
  4. Step 4: Simplify right side
    16,128.56x = 201,553,663.69
  5. Step 5: Solve for x
    x = 201,553,663.69/16,128.56
  6. Step 6: Final answer
    x = 12,496.69

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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.