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Finding the Fourth Proportional to 11,779.90, 16,238.29 and 9,980.74

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Solution

The fourth proportional to 11,779.90, 16,238.29 and 9,980.74 is: 13,758.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,779.90 : 16,238.29 = 9,980.74 : x
  2. Step 2: Convert to fraction form
    11,779.90/16,238.29 = 9,980.74/x
  3. Step 3: Cross multiply
    11,779.90x = 16,238.29 × 9,980.74
  4. Step 4: Simplify right side
    11,779.90x = 162,070,073.25
  5. Step 5: Solve for x
    x = 162,070,073.25/11,779.90
  6. Step 6: Final answer
    x = 13,758.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.