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Finding the Fourth Proportional to 14,710.14, 20,289.78 and 12,280.68

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Solution

The fourth proportional to 14,710.14, 20,289.78 and 12,280.68 is: 16,938.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,710.14 : 20,289.78 = 12,280.68 : x
  2. Step 2: Convert to fraction form
    14,710.14/20,289.78 = 12,280.68/x
  3. Step 3: Cross multiply
    14,710.14x = 20,289.78 × 12,280.68
  4. Step 4: Simplify right side
    14,710.14x = 249,172,295.45
  5. Step 5: Solve for x
    x = 249,172,295.45/14,710.14
  6. Step 6: Final answer
    x = 16,938.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.