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Finding the Fourth Proportional to 14,673.04, 22,008 and 4,142.80

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Solution

The fourth proportional to 14,673.04, 22,008 and 4,142.80 is: 6,213.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,673.04 : 22,008 = 4,142.80 : x
  2. Step 2: Convert to fraction form
    14,673.04/22,008 = 4,142.80/x
  3. Step 3: Cross multiply
    14,673.04x = 22,008 × 4,142.80
  4. Step 4: Simplify right side
    14,673.04x = 91,174,742.40
  5. Step 5: Solve for x
    x = 91,174,742.40/14,673.04
  6. Step 6: Final answer
    x = 6,213.76

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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.