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Finding the Fourth Proportional to 14,623.36, 20,180.18 and 7,909.00

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Solution

The fourth proportional to 14,623.36, 20,180.18 and 7,909.00 is: 10,914.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,623.36 : 20,180.18 = 7,909.00 : x
  2. Step 2: Convert to fraction form
    14,623.36/20,180.18 = 7,909.00/x
  3. Step 3: Cross multiply
    14,623.36x = 20,180.18 × 7,909.00
  4. Step 4: Simplify right side
    14,623.36x = 159,604,903.17
  5. Step 5: Solve for x
    x = 159,604,903.17/14,623.36
  6. Step 6: Final answer
    x = 10,914.38

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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.