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Finding the Fourth Proportional to 20,870.60, 31,278.18 and 7,710.84

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Solution

The fourth proportional to 20,870.60, 31,278.18 and 7,710.84 is: 11,556.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,870.60 : 31,278.18 = 7,710.84 : x
  2. Step 2: Convert to fraction form
    20,870.60/31,278.18 = 7,710.84/x
  3. Step 3: Cross multiply
    20,870.60x = 31,278.18 × 7,710.84
  4. Step 4: Simplify right side
    20,870.60x = 241,181,041.47
  5. Step 5: Solve for x
    x = 241,181,041.47/20,870.60
  6. Step 6: Final answer
    x = 11,556.02

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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.