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Finding the Fourth Proportional to 16,275.17, 22,460.33 and 9,201.17

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Solution

The fourth proportional to 16,275.17, 22,460.33 and 9,201.17 is: 12,697.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,275.17 : 22,460.33 = 9,201.17 : x
  2. Step 2: Convert to fraction form
    16,275.17/22,460.33 = 9,201.17/x
  3. Step 3: Cross multiply
    16,275.17x = 22,460.33 × 9,201.17
  4. Step 4: Simplify right side
    16,275.17x = 206,661,225.29
  5. Step 5: Solve for x
    x = 206,661,225.29/16,275.17
  6. Step 6: Final answer
    x = 12,697.95

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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.