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Finding the Fourth Proportional to 20,848.40, 31,276.04 and 6,804.40

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Solution

The fourth proportional to 20,848.40, 31,276.04 and 6,804.40 is: 10,207.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,848.40 : 31,276.04 = 6,804.40 : x
  2. Step 2: Convert to fraction form
    20,848.40/31,276.04 = 6,804.40/x
  3. Step 3: Cross multiply
    20,848.40x = 31,276.04 × 6,804.40
  4. Step 4: Simplify right side
    20,848.40x = 212,814,686.58
  5. Step 5: Solve for x
    x = 212,814,686.58/20,848.40
  6. Step 6: Final answer
    x = 10,207.72

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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.