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Finding the Fourth Proportional to 21,365.78, 32,043.40 and 9,676.67

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Solution

The fourth proportional to 21,365.78, 32,043.40 and 9,676.67 is: 14,512.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,365.78 : 32,043.40 = 9,676.67 : x
  2. Step 2: Convert to fraction form
    21,365.78/32,043.40 = 9,676.67/x
  3. Step 3: Cross multiply
    21,365.78x = 32,043.40 × 9,676.67
  4. Step 4: Simplify right side
    21,365.78x = 310,073,407.48
  5. Step 5: Solve for x
    x = 310,073,407.48/21,365.78
  6. Step 6: Final answer
    x = 14,512.62

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1.5x scale

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.