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Finding the Fourth Proportional to 20,802.60, 31,208.80 and 6,762.66

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Solution

The fourth proportional to 20,802.60, 31,208.80 and 6,762.66 is: 10,145.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,802.60 : 31,208.80 = 6,762.66 : x
  2. Step 2: Convert to fraction form
    20,802.60/31,208.80 = 6,762.66/x
  3. Step 3: Cross multiply
    20,802.60x = 31,208.80 × 6,762.66
  4. Step 4: Simplify right side
    20,802.60x = 211,054,503.41
  5. Step 5: Solve for x
    x = 211,054,503.41/20,802.60
  6. Step 6: Final answer
    x = 10,145.58

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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.