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Finding the Fourth Proportional to 14,009.34, 21,016.50 and 4,649.92

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Solution

The fourth proportional to 14,009.34, 21,016.50 and 4,649.92 is: 6,975.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,009.34 : 21,016.50 = 4,649.92 : x
  2. Step 2: Convert to fraction form
    14,009.34/21,016.50 = 4,649.92/x
  3. Step 3: Cross multiply
    14,009.34x = 21,016.50 × 4,649.92
  4. Step 4: Simplify right side
    14,009.34x = 97,725,043.68
  5. Step 5: Solve for x
    x = 97,725,043.68/14,009.34
  6. Step 6: Final answer
    x = 6,975.71

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