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Finding the Fourth Proportional to 22,636.53, 31,236.93 and 12,564.48

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Solution

The fourth proportional to 22,636.53, 31,236.93 and 12,564.48 is: 17,338.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,636.53 : 31,236.93 = 12,564.48 : x
  2. Step 2: Convert to fraction form
    22,636.53/31,236.93 = 12,564.48/x
  3. Step 3: Cross multiply
    22,636.53x = 31,236.93 × 12,564.48
  4. Step 4: Simplify right side
    22,636.53x = 392,475,782.25
  5. Step 5: Solve for x
    x = 392,475,782.25/22,636.53
  6. Step 6: Final answer
    x = 17,338.16

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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.