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Finding the Fourth Proportional to 20,804.40, 31,220.28 and 7,656.93

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Solution

The fourth proportional to 20,804.40, 31,220.28 and 7,656.93 is: 11,490.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,804.40 : 31,220.28 = 7,656.93 : x
  2. Step 2: Convert to fraction form
    20,804.40/31,220.28 = 7,656.93/x
  3. Step 3: Cross multiply
    20,804.40x = 31,220.28 × 7,656.93
  4. Step 4: Simplify right side
    20,804.40x = 239,051,498.54
  5. Step 5: Solve for x
    x = 239,051,498.54/20,804.40
  6. Step 6: Final answer
    x = 11,490.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.