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Finding the Fourth Proportional to 21,570.57, 32,355.84 and 9,883.79

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Solution

The fourth proportional to 21,570.57, 32,355.84 and 9,883.79 is: 14,825.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,570.57 : 32,355.84 = 9,883.79 : x
  2. Step 2: Convert to fraction form
    21,570.57/32,355.84 = 9,883.79/x
  3. Step 3: Cross multiply
    21,570.57x = 32,355.84 × 9,883.79
  4. Step 4: Simplify right side
    21,570.57x = 319,798,166.05
  5. Step 5: Solve for x
    x = 319,798,166.05/21,570.57
  6. Step 6: Final answer
    x = 14,825.67

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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.