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Finding the Fourth Proportional to 16,541.25, 22,826.93 and 9,089.25

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Solution

The fourth proportional to 16,541.25, 22,826.93 and 9,089.25 is: 12,543.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,541.25 : 22,826.93 = 9,089.25 : x
  2. Step 2: Convert to fraction form
    16,541.25/22,826.93 = 9,089.25/x
  3. Step 3: Cross multiply
    16,541.25x = 22,826.93 × 9,089.25
  4. Step 4: Simplify right side
    16,541.25x = 207,479,628.06
  5. Step 5: Solve for x
    x = 207,479,628.06/16,541.25
  6. Step 6: Final answer
    x = 12,543.17

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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.