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Finding the Fourth Proportional to 14,606.20, 21,893.50 and 5,831.47

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Solution

The fourth proportional to 14,606.20, 21,893.50 and 5,831.47 is: 8,740.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,606.20 : 21,893.50 = 5,831.47 : x
  2. Step 2: Convert to fraction form
    14,606.20/21,893.50 = 5,831.47/x
  3. Step 3: Cross multiply
    14,606.20x = 21,893.50 × 5,831.47
  4. Step 4: Simplify right side
    14,606.20x = 127,671,241.00
  5. Step 5: Solve for x
    x = 127,671,241.00/14,606.20
  6. Step 6: Final answer
    x = 8,740.90

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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.