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Finding the Fourth Proportional to 12,779.32, 17,635.26 and 7,114

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Solution

The fourth proportional to 12,779.32, 17,635.26 and 7,114 is: 9,817.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,779.32 : 17,635.26 = 7,114 : x
  2. Step 2: Convert to fraction form
    12,779.32/17,635.26 = 7,114/x
  3. Step 3: Cross multiply
    12,779.32x = 17,635.26 × 7,114
  4. Step 4: Simplify right side
    12,779.32x = 125,457,239.64
  5. Step 5: Solve for x
    x = 125,457,239.64/12,779.32
  6. Step 6: Final answer
    x = 9,817.21

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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.