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Finding the Fourth Proportional to 14,615.00, 21,917.09 and 5,252.50

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Solution

The fourth proportional to 14,615.00, 21,917.09 and 5,252.50 is: 7,876.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,615.00 : 21,917.09 = 5,252.50 : x
  2. Step 2: Convert to fraction form
    14,615.00/21,917.09 = 5,252.50/x
  3. Step 3: Cross multiply
    14,615.00x = 21,917.09 × 5,252.50
  4. Step 4: Simplify right side
    14,615.00x = 115,119,463.72
  5. Step 5: Solve for x
    x = 115,119,463.72/14,615.00
  6. Step 6: Final answer
    x = 7,876.80

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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.