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Finding the Fourth Proportional to 16,803.04, 25,195.92 and 7,564

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Solution

The fourth proportional to 16,803.04, 25,195.92 and 7,564 is: 11,342.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,803.04 : 25,195.92 = 7,564 : x
  2. Step 2: Convert to fraction form
    16,803.04/25,195.92 = 7,564/x
  3. Step 3: Cross multiply
    16,803.04x = 25,195.92 × 7,564
  4. Step 4: Simplify right side
    16,803.04x = 190,581,938.88
  5. Step 5: Solve for x
    x = 190,581,938.88/16,803.04
  6. Step 6: Final answer
    x = 11,342.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.