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Finding the Fourth Proportional to 14,563, 21,852.42 and 5,797.90

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Solution

The fourth proportional to 14,563, 21,852.42 and 5,797.90 is: 8,700.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563 : 21,852.42 = 5,797.90 : x
  2. Step 2: Convert to fraction form
    14,563/21,852.42 = 5,797.90/x
  3. Step 3: Cross multiply
    14,563x = 21,852.42 × 5,797.90
  4. Step 4: Simplify right side
    14,563x = 126,698,145.92
  5. Step 5: Solve for x
    x = 126,698,145.92/14,563
  6. Step 6: Final answer
    x = 8,700.00

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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.