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Finding the Fourth Proportional to 14,510.00, 21,761.73 and 7,107

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Solution

The fourth proportional to 14,510.00, 21,761.73 and 7,107 is: 10,658.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,510.00 : 21,761.73 = 7,107 : x
  2. Step 2: Convert to fraction form
    14,510.00/21,761.73 = 7,107/x
  3. Step 3: Cross multiply
    14,510.00x = 21,761.73 × 7,107
  4. Step 4: Simplify right side
    14,510.00x = 154,660,615.11
  5. Step 5: Solve for x
    x = 154,660,615.11/14,510.00
  6. Step 6: Final answer
    x = 10,658.90

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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.