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Finding the Fourth Proportional to 12,696.00, 19,051.29 and 9,914.86

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Solution

The fourth proportional to 12,696.00, 19,051.29 and 9,914.86 is: 14,877.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.00 : 19,051.29 = 9,914.86 : x
  2. Step 2: Convert to fraction form
    12,696.00/19,051.29 = 9,914.86/x
  3. Step 3: Cross multiply
    12,696.00x = 19,051.29 × 9,914.86
  4. Step 4: Simplify right side
    12,696.00x = 188,890,916.80
  5. Step 5: Solve for x
    x = 188,890,916.80/12,696.00
  6. Step 6: Final answer
    x = 14,877.99

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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.