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Finding the Fourth Proportional to 11,817.80, 17,688.30 and 9,206.60

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Solution

The fourth proportional to 11,817.80, 17,688.30 and 9,206.60 is: 13,779.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.80 : 17,688.30 = 9,206.60 : x
  2. Step 2: Convert to fraction form
    11,817.80/17,688.30 = 9,206.60/x
  3. Step 3: Cross multiply
    11,817.80x = 17,688.30 × 9,206.60
  4. Step 4: Simplify right side
    11,817.80x = 162,849,102.78
  5. Step 5: Solve for x
    x = 162,849,102.78/11,817.80
  6. Step 6: Final answer
    x = 13,779.98

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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.