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Finding the Fourth Proportional to 14,203.50, 19,580.34 and 9,941.37

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Solution

The fourth proportional to 14,203.50, 19,580.34 and 9,941.37 is: 13,704.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,203.50 : 19,580.34 = 9,941.37 : x
  2. Step 2: Convert to fraction form
    14,203.50/19,580.34 = 9,941.37/x
  3. Step 3: Cross multiply
    14,203.50x = 19,580.34 × 9,941.37
  4. Step 4: Simplify right side
    14,203.50x = 194,655,354.96
  5. Step 5: Solve for x
    x = 194,655,354.96/14,203.50
  6. Step 6: Final answer
    x = 13,704.75

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1.5x scale

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.