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Finding the Fourth Proportional to 14,946.14, 20,625.81 and 8,232.00

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Solution

The fourth proportional to 14,946.14, 20,625.81 and 8,232.00 is: 11,360.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,946.14 : 20,625.81 = 8,232.00 : x
  2. Step 2: Convert to fraction form
    14,946.14/20,625.81 = 8,232.00/x
  3. Step 3: Cross multiply
    14,946.14x = 20,625.81 × 8,232.00
  4. Step 4: Simplify right side
    14,946.14x = 169,791,732.38
  5. Step 5: Solve for x
    x = 169,791,732.38/14,946.14
  6. Step 6: Final answer
    x = 11,360.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.