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Finding the Fourth Proportional to 12,779.19, 17,631.18 and 7,741.80

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Solution

The fourth proportional to 12,779.19, 17,631.18 and 7,741.80 is: 10,681.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,779.19 : 17,631.18 = 7,741.80 : x
  2. Step 2: Convert to fraction form
    12,779.19/17,631.18 = 7,741.80/x
  3. Step 3: Cross multiply
    12,779.19x = 17,631.18 × 7,741.80
  4. Step 4: Simplify right side
    12,779.19x = 136,497,069.32
  5. Step 5: Solve for x
    x = 136,497,069.32/12,779.19
  6. Step 6: Final answer
    x = 10,681.20

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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.