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Finding the Fourth Proportional to 12,024.65, 18,072.72 and 9,957.94

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Solution

The fourth proportional to 12,024.65, 18,072.72 and 9,957.94 is: 14,966.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024.65 : 18,072.72 = 9,957.94 : x
  2. Step 2: Convert to fraction form
    12,024.65/18,072.72 = 9,957.94/x
  3. Step 3: Cross multiply
    12,024.65x = 18,072.72 × 9,957.94
  4. Step 4: Simplify right side
    12,024.65x = 179,967,016.22
  5. Step 5: Solve for x
    x = 179,967,016.22/12,024.65
  6. Step 6: Final answer
    x = 14,966.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.