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Finding the Fourth Proportional to 13,594.69, 20,389.60 and 8,649.64

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Solution

The fourth proportional to 13,594.69, 20,389.60 and 8,649.64 is: 12,972.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,594.69 : 20,389.60 = 8,649.64 : x
  2. Step 2: Convert to fraction form
    13,594.69/20,389.60 = 8,649.64/x
  3. Step 3: Cross multiply
    13,594.69x = 20,389.60 × 8,649.64
  4. Step 4: Simplify right side
    13,594.69x = 176,362,597.02
  5. Step 5: Solve for x
    x = 176,362,597.02/13,594.69
  6. Step 6: Final answer
    x = 12,972.91

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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.