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Finding the Fourth Proportional to 24,345.93, 36,524.40 and 7,706.97

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Solution

The fourth proportional to 24,345.93, 36,524.40 and 7,706.97 is: 11,562.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,345.93 : 36,524.40 = 7,706.97 : x
  2. Step 2: Convert to fraction form
    24,345.93/36,524.40 = 7,706.97/x
  3. Step 3: Cross multiply
    24,345.93x = 36,524.40 × 7,706.97
  4. Step 4: Simplify right side
    24,345.93x = 281,492,455.07
  5. Step 5: Solve for x
    x = 281,492,455.07/24,345.93
  6. Step 6: Final answer
    x = 11,562.20

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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.