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Finding the Fourth Proportional to 22,655.16, 33,978.42 and 8,802.36

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Solution

The fourth proportional to 22,655.16, 33,978.42 and 8,802.36 is: 13,201.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,655.16 : 33,978.42 = 8,802.36 : x
  2. Step 2: Convert to fraction form
    22,655.16/33,978.42 = 8,802.36/x
  3. Step 3: Cross multiply
    22,655.16x = 33,978.42 × 8,802.36
  4. Step 4: Simplify right side
    22,655.16x = 299,090,285.07
  5. Step 5: Solve for x
    x = 299,090,285.07/22,655.16
  6. Step 6: Final answer
    x = 13,201.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.