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Finding the Fourth Proportional to 13,689.51, 20,568.87 and 13,135.93

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Solution

The fourth proportional to 13,689.51, 20,568.87 and 13,135.93 is: 19,737.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.51 : 20,568.87 = 13,135.93 : x
  2. Step 2: Convert to fraction form
    13,689.51/20,568.87 = 13,135.93/x
  3. Step 3: Cross multiply
    13,689.51x = 20,568.87 × 13,135.93
  4. Step 4: Simplify right side
    13,689.51x = 270,191,236.50
  5. Step 5: Solve for x
    x = 270,191,236.50/13,689.51
  6. Step 6: Final answer
    x = 19,737.10

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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.