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Finding the Fourth Proportional to 23,609.46, 32,580.93 and 12,998.82

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Solution

The fourth proportional to 23,609.46, 32,580.93 and 12,998.82 is: 17,938.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,609.46 : 32,580.93 = 12,998.82 : x
  2. Step 2: Convert to fraction form
    23,609.46/32,580.93 = 12,998.82/x
  3. Step 3: Cross multiply
    23,609.46x = 32,580.93 × 12,998.82
  4. Step 4: Simplify right side
    23,609.46x = 423,513,644.50
  5. Step 5: Solve for x
    x = 423,513,644.50/23,609.46
  6. Step 6: Final answer
    x = 17,938.30

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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.