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Finding the Fourth Proportional to 24,323.07, 36,486.54 and 7,684.38

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Solution

The fourth proportional to 24,323.07, 36,486.54 and 7,684.38 is: 11,527.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,323.07 : 36,486.54 = 7,684.38 : x
  2. Step 2: Convert to fraction form
    24,323.07/36,486.54 = 7,684.38/x
  3. Step 3: Cross multiply
    24,323.07x = 36,486.54 × 7,684.38
  4. Step 4: Simplify right side
    24,323.07x = 280,376,438.25
  5. Step 5: Solve for x
    x = 280,376,438.25/24,323.07
  6. Step 6: Final answer
    x = 11,527.18

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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.