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Finding the Fourth Proportional to 16,805.04, 25,206.30 and 5,712

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Solution

The fourth proportional to 16,805.04, 25,206.30 and 5,712 is: 8,567.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,805.04 : 25,206.30 = 5,712 : x
  2. Step 2: Convert to fraction form
    16,805.04/25,206.30 = 5,712/x
  3. Step 3: Cross multiply
    16,805.04x = 25,206.30 × 5,712
  4. Step 4: Simplify right side
    16,805.04x = 143,978,385.60
  5. Step 5: Solve for x
    x = 143,978,385.60/16,805.04
  6. Step 6: Final answer
    x = 8,567.57

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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.