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Finding the Fourth Proportional to 16,719, 25,090.02 and 5,775

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Solution

The fourth proportional to 16,719, 25,090.02 and 5,775 is: 8,666.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,719 : 25,090.02 = 5,775 : x
  2. Step 2: Convert to fraction form
    16,719/25,090.02 = 5,775/x
  3. Step 3: Cross multiply
    16,719x = 25,090.02 × 5,775
  4. Step 4: Simplify right side
    16,719x = 144,894,865.50
  5. Step 5: Solve for x
    x = 144,894,865.50/16,719
  6. Step 6: Final answer
    x = 8,666.48

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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.