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Finding the Fourth Proportional to 14,649.12, 21,985.97 and 6,335.48

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Solution

The fourth proportional to 14,649.12, 21,985.97 and 6,335.48 is: 9,508.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,649.12 : 21,985.97 = 6,335.48 : x
  2. Step 2: Convert to fraction form
    14,649.12/21,985.97 = 6,335.48/x
  3. Step 3: Cross multiply
    14,649.12x = 21,985.97 × 6,335.48
  4. Step 4: Simplify right side
    14,649.12x = 139,291,696.50
  5. Step 5: Solve for x
    x = 139,291,696.50/14,649.12
  6. Step 6: Final answer
    x = 9,508.54

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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.