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Finding the Fourth Proportional to 23,587.42, 32,564.07 and 15,640.39

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Solution

The fourth proportional to 23,587.42, 32,564.07 and 15,640.39 is: 21,592.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,587.42 : 32,564.07 = 15,640.39 : x
  2. Step 2: Convert to fraction form
    23,587.42/32,564.07 = 15,640.39/x
  3. Step 3: Cross multiply
    23,587.42x = 32,564.07 × 15,640.39
  4. Step 4: Simplify right side
    23,587.42x = 509,314,754.79
  5. Step 5: Solve for x
    x = 509,314,754.79/23,587.42
  6. Step 6: Final answer
    x = 21,592.64

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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.