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Finding the Fourth Proportional to 20,878.64, 31,298.16 and 7,722.08

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Solution

The fourth proportional to 20,878.64, 31,298.16 and 7,722.08 is: 11,575.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,878.64 : 31,298.16 = 7,722.08 : x
  2. Step 2: Convert to fraction form
    20,878.64/31,298.16 = 7,722.08/x
  3. Step 3: Cross multiply
    20,878.64x = 31,298.16 × 7,722.08
  4. Step 4: Simplify right side
    20,878.64x = 241,686,895.37
  5. Step 5: Solve for x
    x = 241,686,895.37/20,878.64
  6. Step 6: Final answer
    x = 11,575.80

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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.