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Finding the Fourth Proportional to 11,779.60, 17,712.60 and 9,878.80

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Solution

The fourth proportional to 11,779.60, 17,712.60 and 9,878.80 is: 14,854.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.60 : 17,712.60 = 9,878.80 : x
  2. Step 2: Convert to fraction form
    11,779.60/17,712.60 = 9,878.80/x
  3. Step 3: Cross multiply
    11,779.60x = 17,712.60 × 9,878.80
  4. Step 4: Simplify right side
    11,779.60x = 174,979,232.88
  5. Step 5: Solve for x
    x = 174,979,232.88/11,779.60
  6. Step 6: Final answer
    x = 14,854.43

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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.