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Finding the Fourth Proportional to 24,364.65, 36,548.01 and 7,725.89

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Solution

The fourth proportional to 24,364.65, 36,548.01 and 7,725.89 is: 11,589.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,364.65 : 36,548.01 = 7,725.89 : x
  2. Step 2: Convert to fraction form
    24,364.65/36,548.01 = 7,725.89/x
  3. Step 3: Cross multiply
    24,364.65x = 36,548.01 × 7,725.89
  4. Step 4: Simplify right side
    24,364.65x = 282,365,722.24
  5. Step 5: Solve for x
    x = 282,365,722.24/24,364.65
  6. Step 6: Final answer
    x = 11,589.16

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