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Finding the Fourth Proportional to 14,289.80, 21,434.70 and 6,513.80

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Solution

The fourth proportional to 14,289.80, 21,434.70 and 6,513.80 is: 9,770.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,289.80 : 21,434.70 = 6,513.80 : x
  2. Step 2: Convert to fraction form
    14,289.80/21,434.70 = 6,513.80/x
  3. Step 3: Cross multiply
    14,289.80x = 21,434.70 × 6,513.80
  4. Step 4: Simplify right side
    14,289.80x = 139,621,348.86
  5. Step 5: Solve for x
    x = 139,621,348.86/14,289.80
  6. Step 6: Final answer
    x = 9,770.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.