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Finding the Fourth Proportional to 14,496.30, 21,739.05 and 10,100.70

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Solution

The fourth proportional to 14,496.30, 21,739.05 and 10,100.70 is: 15,147.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,496.30 : 21,739.05 = 10,100.70 : x
  2. Step 2: Convert to fraction form
    14,496.30/21,739.05 = 10,100.70/x
  3. Step 3: Cross multiply
    14,496.30x = 21,739.05 × 10,100.70
  4. Step 4: Simplify right side
    14,496.30x = 219,579,622.34
  5. Step 5: Solve for x
    x = 219,579,622.34/14,496.30
  6. Step 6: Final answer
    x = 15,147.29

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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.