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Finding the Fourth Proportional to 16,580.56, 22,881.12 and 9,128.56

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Solution

The fourth proportional to 16,580.56, 22,881.12 and 9,128.56 is: 12,597.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,580.56 : 22,881.12 = 9,128.56 : x
  2. Step 2: Convert to fraction form
    16,580.56/22,881.12 = 9,128.56/x
  3. Step 3: Cross multiply
    16,580.56x = 22,881.12 × 9,128.56
  4. Step 4: Simplify right side
    16,580.56x = 208,871,676.79
  5. Step 5: Solve for x
    x = 208,871,676.79/16,580.56
  6. Step 6: Final answer
    x = 12,597.38

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Why These Related Problems?

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