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Finding the Fourth Proportional to 14,436.02, 21,661.22 and 8,106.98

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Solution

The fourth proportional to 14,436.02, 21,661.22 and 8,106.98 is: 12,164.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,436.02 : 21,661.22 = 8,106.98 : x
  2. Step 2: Convert to fraction form
    14,436.02/21,661.22 = 8,106.98/x
  3. Step 3: Cross multiply
    14,436.02x = 21,661.22 × 8,106.98
  4. Step 4: Simplify right side
    14,436.02x = 175,606,989.28
  5. Step 5: Solve for x
    x = 175,606,989.28/14,436.02
  6. Step 6: Final answer
    x = 12,164.50

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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.