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Finding the Fourth Proportional to 13,665.54, 18,847.98 and 10,308.90

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Solution

The fourth proportional to 13,665.54, 18,847.98 and 10,308.90 is: 14,218.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.54 : 18,847.98 = 10,308.90 : x
  2. Step 2: Convert to fraction form
    13,665.54/18,847.98 = 10,308.90/x
  3. Step 3: Cross multiply
    13,665.54x = 18,847.98 × 10,308.90
  4. Step 4: Simplify right side
    13,665.54x = 194,301,941.02
  5. Step 5: Solve for x
    x = 194,301,941.02/13,665.54
  6. Step 6: Final answer
    x = 14,218.39

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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.