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Finding the Fourth Proportional to 23,587.54, 32,564.24 and 15,640.51

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Solution

The fourth proportional to 23,587.54, 32,564.24 and 15,640.51 is: 21,592.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,587.54 : 32,564.24 = 15,640.51 : x
  2. Step 2: Convert to fraction form
    23,587.54/32,564.24 = 15,640.51/x
  3. Step 3: Cross multiply
    23,587.54x = 32,564.24 × 15,640.51
  4. Step 4: Simplify right side
    23,587.54x = 509,321,321.36
  5. Step 5: Solve for x
    x = 509,321,321.36/23,587.54
  6. Step 6: Final answer
    x = 21,592.81

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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.