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Finding the Fourth Proportional to 20,478.37, 30,678.15 and 12,557.77

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Solution

The fourth proportional to 20,478.37, 30,678.15 and 12,557.77 is: 18,812.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,478.37 : 30,678.15 = 12,557.77 : x
  2. Step 2: Convert to fraction form
    20,478.37/30,678.15 = 12,557.77/x
  3. Step 3: Cross multiply
    20,478.37x = 30,678.15 × 12,557.77
  4. Step 4: Simplify right side
    20,478.37x = 385,249,151.73
  5. Step 5: Solve for x
    x = 385,249,151.73/20,478.37
  6. Step 6: Final answer
    x = 18,812.49

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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.