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Finding the Fourth Proportional to 22,901.67, 31,602.66 and 12,828.41

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Solution

The fourth proportional to 22,901.67, 31,602.66 and 12,828.41 is: 17,702.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,901.67 : 31,602.66 = 12,828.41 : x
  2. Step 2: Convert to fraction form
    22,901.67/31,602.66 = 12,828.41/x
  3. Step 3: Cross multiply
    22,901.67x = 31,602.66 × 12,828.41
  4. Step 4: Simplify right side
    22,901.67x = 405,411,879.57
  5. Step 5: Solve for x
    x = 405,411,879.57/22,901.67
  6. Step 6: Final answer
    x = 17,702.28

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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.