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Finding the Fourth Proportional to 39,204.81, 58,807.22 and 9,622.80

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Solution

The fourth proportional to 39,204.81, 58,807.22 and 9,622.80 is: 14,434.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,204.81 : 58,807.22 = 9,622.80 : x
  2. Step 2: Convert to fraction form
    39,204.81/58,807.22 = 9,622.80/x
  3. Step 3: Cross multiply
    39,204.81x = 58,807.22 × 9,622.80
  4. Step 4: Simplify right side
    39,204.81x = 565,890,068.50
  5. Step 5: Solve for x
    x = 565,890,068.50/39,204.81
  6. Step 6: Final answer
    x = 14,434.20

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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.