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Finding the Fourth Proportional to 24,186.65, 36,273.08 and 9,392.40

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Solution

The fourth proportional to 24,186.65, 36,273.08 and 9,392.40 is: 14,085.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,186.65 : 36,273.08 = 9,392.40 : x
  2. Step 2: Convert to fraction form
    24,186.65/36,273.08 = 9,392.40/x
  3. Step 3: Cross multiply
    24,186.65x = 36,273.08 × 9,392.40
  4. Step 4: Simplify right side
    24,186.65x = 340,691,300.07
  5. Step 5: Solve for x
    x = 340,691,300.07/24,186.65
  6. Step 6: Final answer
    x = 14,085.93

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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.