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Finding the Fourth Proportional to 14,606.00, 21,900.23 and 6,698.61

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Solution

The fourth proportional to 14,606.00, 21,900.23 and 6,698.61 is: 10,043.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,606.00 : 21,900.23 = 6,698.61 : x
  2. Step 2: Convert to fraction form
    14,606.00/21,900.23 = 6,698.61/x
  3. Step 3: Cross multiply
    14,606.00x = 21,900.23 × 6,698.61
  4. Step 4: Simplify right side
    14,606.00x = 146,701,034.42
  5. Step 5: Solve for x
    x = 146,701,034.42/14,606.00
  6. Step 6: Final answer
    x = 10,043.89

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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.