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Finding the Fourth Proportional to 14,435.80, 21,661.80 and 6,114.40

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Solution

The fourth proportional to 14,435.80, 21,661.80 and 6,114.40 is: 9,175.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,435.80 : 21,661.80 = 6,114.40 : x
  2. Step 2: Convert to fraction form
    14,435.80/21,661.80 = 6,114.40/x
  3. Step 3: Cross multiply
    14,435.80x = 21,661.80 × 6,114.40
  4. Step 4: Simplify right side
    14,435.80x = 132,448,909.92
  5. Step 5: Solve for x
    x = 132,448,909.92/14,435.80
  6. Step 6: Final answer
    x = 9,175.03

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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.