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Finding the Fourth Proportional to 21,567.78, 32,351.67 and 9,707.67

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Solution

The fourth proportional to 21,567.78, 32,351.67 and 9,707.67 is: 14,561.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,567.78 : 32,351.67 = 9,707.67 : x
  2. Step 2: Convert to fraction form
    21,567.78/32,351.67 = 9,707.67/x
  3. Step 3: Cross multiply
    21,567.78x = 32,351.67 × 9,707.67
  4. Step 4: Simplify right side
    21,567.78x = 314,059,336.31
  5. Step 5: Solve for x
    x = 314,059,336.31/21,567.78
  6. Step 6: Final answer
    x = 14,561.51

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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.