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Finding the Fourth Proportional to 13,815.76, 20,690.64 and 7,566.40

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Solution

The fourth proportional to 13,815.76, 20,690.64 and 7,566.40 is: 11,331.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.76 : 20,690.64 = 7,566.40 : x
  2. Step 2: Convert to fraction form
    13,815.76/20,690.64 = 7,566.40/x
  3. Step 3: Cross multiply
    13,815.76x = 20,690.64 × 7,566.40
  4. Step 4: Simplify right side
    13,815.76x = 156,553,658.50
  5. Step 5: Solve for x
    x = 156,553,658.50/13,815.76
  6. Step 6: Final answer
    x = 11,331.53

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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.