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Finding the Fourth Proportional to 16,746.98, 25,102.98 and 5,649.84

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Solution

The fourth proportional to 16,746.98, 25,102.98 and 5,649.84 is: 8,468.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,746.98 : 25,102.98 = 5,649.84 : x
  2. Step 2: Convert to fraction form
    16,746.98/25,102.98 = 5,649.84/x
  3. Step 3: Cross multiply
    16,746.98x = 25,102.98 × 5,649.84
  4. Step 4: Simplify right side
    16,746.98x = 141,827,820.52
  5. Step 5: Solve for x
    x = 141,827,820.52/16,746.98
  6. Step 6: Final answer
    x = 8,468.86

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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.