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Finding the Fourth Proportional to 22,675.48, 31,289.80 and 12,602.30

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Solution

The fourth proportional to 22,675.48, 31,289.80 and 12,602.30 is: 17,389.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,675.48 : 31,289.80 = 12,602.30 : x
  2. Step 2: Convert to fraction form
    22,675.48/31,289.80 = 12,602.30/x
  3. Step 3: Cross multiply
    22,675.48x = 31,289.80 × 12,602.30
  4. Step 4: Simplify right side
    22,675.48x = 394,323,446.54
  5. Step 5: Solve for x
    x = 394,323,446.54/22,675.48
  6. Step 6: Final answer
    x = 17,389.86

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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.