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Finding the Fourth Proportional to 23,294.37, 32,145.24 and 12,684

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Solution

The fourth proportional to 23,294.37, 32,145.24 and 12,684 is: 17,503.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,294.37 : 32,145.24 = 12,684 : x
  2. Step 2: Convert to fraction form
    23,294.37/32,145.24 = 12,684/x
  3. Step 3: Cross multiply
    23,294.37x = 32,145.24 × 12,684
  4. Step 4: Simplify right side
    23,294.37x = 407,730,224.16
  5. Step 5: Solve for x
    x = 407,730,224.16/23,294.37
  6. Step 6: Final answer
    x = 17,503.38

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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.