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Finding the Fourth Proportional to 19,639.86, 29,436.39 and 13,684.52

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Solution

The fourth proportional to 19,639.86, 29,436.39 and 13,684.52 is: 20,510.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,639.86 : 29,436.39 = 13,684.52 : x
  2. Step 2: Convert to fraction form
    19,639.86/29,436.39 = 13,684.52/x
  3. Step 3: Cross multiply
    19,639.86x = 29,436.39 × 13,684.52
  4. Step 4: Simplify right side
    19,639.86x = 402,822,720.50
  5. Step 5: Solve for x
    x = 402,822,720.50/19,639.86
  6. Step 6: Final answer
    x = 20,510.47

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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.