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Finding the Fourth Proportional to 23,564, 32,519.08 and 12,954.40

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Solution

The fourth proportional to 23,564, 32,519.08 and 12,954.40 is: 17,877.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,564 : 32,519.08 = 12,954.40 : x
  2. Step 2: Convert to fraction form
    23,564/32,519.08 = 12,954.40/x
  3. Step 3: Cross multiply
    23,564x = 32,519.08 × 12,954.40
  4. Step 4: Simplify right side
    23,564x = 421,265,169.95
  5. Step 5: Solve for x
    x = 421,265,169.95/23,564
  6. Step 6: Final answer
    x = 17,877.49

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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.