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Finding the Fourth Proportional to 16,564.54, 22,858.38 and 9,010.88

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Solution

The fourth proportional to 16,564.54, 22,858.38 and 9,010.88 is: 12,434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.54 : 22,858.38 = 9,010.88 : x
  2. Step 2: Convert to fraction form
    16,564.54/22,858.38 = 9,010.88/x
  3. Step 3: Cross multiply
    16,564.54x = 22,858.38 × 9,010.88
  4. Step 4: Simplify right side
    16,564.54x = 205,974,119.17
  5. Step 5: Solve for x
    x = 205,974,119.17/16,564.54
  6. Step 6: Final answer
    x = 12,434.64

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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.