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Finding the Fourth Proportional to 16,552.31, 22,838.54 and 12,078.50

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Solution

The fourth proportional to 16,552.31, 22,838.54 and 12,078.50 is: 16,665.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,552.31 : 22,838.54 = 12,078.50 : x
  2. Step 2: Convert to fraction form
    16,552.31/22,838.54 = 12,078.50/x
  3. Step 3: Cross multiply
    16,552.31x = 22,838.54 × 12,078.50
  4. Step 4: Simplify right side
    16,552.31x = 275,855,130.80
  5. Step 5: Solve for x
    x = 275,855,130.80/16,552.31
  6. Step 6: Final answer
    x = 16,665.66

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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.