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Finding the Fourth Proportional to 20,878.80, 31,303.28 and 9,779.36

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Solution

The fourth proportional to 20,878.80, 31,303.28 and 9,779.36 is: 14,662.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,878.80 : 31,303.28 = 9,779.36 : x
  2. Step 2: Convert to fraction form
    20,878.80/31,303.28 = 9,779.36/x
  3. Step 3: Cross multiply
    20,878.80x = 31,303.28 × 9,779.36
  4. Step 4: Simplify right side
    20,878.80x = 306,126,044.30
  5. Step 5: Solve for x
    x = 306,126,044.30/20,878.80
  6. Step 6: Final answer
    x = 14,662.05

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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.