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Finding the Fourth Proportional to 16,775.76, 25,164 and 5,088.96

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Solution

The fourth proportional to 16,775.76, 25,164 and 5,088.96 is: 7,633.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,775.76 : 25,164 = 5,088.96 : x
  2. Step 2: Convert to fraction form
    16,775.76/25,164 = 5,088.96/x
  3. Step 3: Cross multiply
    16,775.76x = 25,164 × 5,088.96
  4. Step 4: Simplify right side
    16,775.76x = 128,058,589.44
  5. Step 5: Solve for x
    x = 128,058,589.44/16,775.76
  6. Step 6: Final answer
    x = 7,633.55

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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.