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Finding the Fourth Proportional to 15,788.72, 21,880.58 and 15,566

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Solution

The fourth proportional to 15,788.72, 21,880.58 and 15,566 is: 21,571.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,788.72 : 21,880.58 = 15,566 : x
  2. Step 2: Convert to fraction form
    15,788.72/21,880.58 = 15,566/x
  3. Step 3: Cross multiply
    15,788.72x = 21,880.58 × 15,566
  4. Step 4: Simplify right side
    15,788.72x = 340,593,108.28
  5. Step 5: Solve for x
    x = 340,593,108.28/15,788.72
  6. Step 6: Final answer
    x = 21,571.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.