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Finding the Fourth Proportional to 12,779.37, 17,635.32 and 7,114.50

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Solution

The fourth proportional to 12,779.37, 17,635.32 and 7,114.50 is: 9,817.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,779.37 : 17,635.32 = 7,114.50 : x
  2. Step 2: Convert to fraction form
    12,779.37/17,635.32 = 7,114.50/x
  3. Step 3: Cross multiply
    12,779.37x = 17,635.32 × 7,114.50
  4. Step 4: Simplify right side
    12,779.37x = 125,466,484.14
  5. Step 5: Solve for x
    x = 125,466,484.14/12,779.37
  6. Step 6: Final answer
    x = 9,817.89

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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.