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Finding the Fourth Proportional to 13,594.92, 20,389.95 and 8,649.87

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Solution

The fourth proportional to 13,594.92, 20,389.95 and 8,649.87 is: 12,973.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,594.92 : 20,389.95 = 8,649.87 : x
  2. Step 2: Convert to fraction form
    13,594.92/20,389.95 = 8,649.87/x
  3. Step 3: Cross multiply
    13,594.92x = 20,389.95 × 8,649.87
  4. Step 4: Simplify right side
    13,594.92x = 176,370,416.81
  5. Step 5: Solve for x
    x = 176,370,416.81/13,594.92
  6. Step 6: Final answer
    x = 12,973.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.