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Finding the Fourth Proportional to 20,406.58, 30,607.71 and 6,554.50

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Solution

The fourth proportional to 20,406.58, 30,607.71 and 6,554.50 is: 9,831.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,406.58 : 30,607.71 = 6,554.50 : x
  2. Step 2: Convert to fraction form
    20,406.58/30,607.71 = 6,554.50/x
  3. Step 3: Cross multiply
    20,406.58x = 30,607.71 × 6,554.50
  4. Step 4: Simplify right side
    20,406.58x = 200,618,235.20
  5. Step 5: Solve for x
    x = 200,618,235.20/20,406.58
  6. Step 6: Final answer
    x = 9,831.06

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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.