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Finding the Fourth Proportional to 16,275.94, 22,461 and 9,561.67

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Solution

The fourth proportional to 16,275.94, 22,461 and 9,561.67 is: 13,195.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,275.94 : 22,461 = 9,561.67 : x
  2. Step 2: Convert to fraction form
    16,275.94/22,461 = 9,561.67/x
  3. Step 3: Cross multiply
    16,275.94x = 22,461 × 9,561.67
  4. Step 4: Simplify right side
    16,275.94x = 214,764,669.87
  5. Step 5: Solve for x
    x = 214,764,669.87/16,275.94
  6. Step 6: Final answer
    x = 13,195.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.