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Finding the Fourth Proportional to 19,406.50, 29,114.06 and 10,636.90

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Solution

The fourth proportional to 19,406.50, 29,114.06 and 10,636.90 is: 15,957.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,406.50 : 29,114.06 = 10,636.90 : x
  2. Step 2: Convert to fraction form
    19,406.50/29,114.06 = 10,636.90/x
  3. Step 3: Cross multiply
    19,406.50x = 29,114.06 × 10,636.90
  4. Step 4: Simplify right side
    19,406.50x = 309,683,344.81
  5. Step 5: Solve for x
    x = 309,683,344.81/19,406.50
  6. Step 6: Final answer
    x = 15,957.71

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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.