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Finding the Fourth Proportional to 28,280.64, 38,897.44 and 22,679.36

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Solution

The fourth proportional to 28,280.64, 38,897.44 and 22,679.36 is: 31,193.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,280.64 : 38,897.44 = 22,679.36 : x
  2. Step 2: Convert to fraction form
    28,280.64/38,897.44 = 22,679.36/x
  3. Step 3: Cross multiply
    28,280.64x = 38,897.44 × 22,679.36
  4. Step 4: Simplify right side
    28,280.64x = 882,169,044.84
  5. Step 5: Solve for x
    x = 882,169,044.84/28,280.64
  6. Step 6: Final answer
    x = 31,193.39

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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.