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Finding the Fourth Proportional to 14,266.80, 21,403.40 and 8,420.40

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Solution

The fourth proportional to 14,266.80, 21,403.40 and 8,420.40 is: 12,632.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,266.80 : 21,403.40 = 8,420.40 : x
  2. Step 2: Convert to fraction form
    14,266.80/21,403.40 = 8,420.40/x
  3. Step 3: Cross multiply
    14,266.80x = 21,403.40 × 8,420.40
  4. Step 4: Simplify right side
    14,266.80x = 180,225,189.36
  5. Step 5: Solve for x
    x = 180,225,189.36/14,266.80
  6. Step 6: Final answer
    x = 12,632.49

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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.