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Finding the Fourth Proportional to 21,416.74, 32,125.02 and 9,567.46

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Solution

The fourth proportional to 21,416.74, 32,125.02 and 9,567.46 is: 14,351.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,416.74 : 32,125.02 = 9,567.46 : x
  2. Step 2: Convert to fraction form
    21,416.74/32,125.02 = 9,567.46/x
  3. Step 3: Cross multiply
    21,416.74x = 32,125.02 × 9,567.46
  4. Step 4: Simplify right side
    21,416.74x = 307,354,843.85
  5. Step 5: Solve for x
    x = 307,354,843.85/21,416.74
  6. Step 6: Final answer
    x = 14,351.15

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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.