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Finding the Fourth Proportional to 24,345.37, 36,523.52 and 7,706.40

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Solution

The fourth proportional to 24,345.37, 36,523.52 and 7,706.40 is: 11,561.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,345.37 : 36,523.52 = 7,706.40 : x
  2. Step 2: Convert to fraction form
    24,345.37/36,523.52 = 7,706.40/x
  3. Step 3: Cross multiply
    24,345.37x = 36,523.52 × 7,706.40
  4. Step 4: Simplify right side
    24,345.37x = 281,464,854.00
  5. Step 5: Solve for x
    x = 281,464,854.00/24,345.37
  6. Step 6: Final answer
    x = 11,561.33

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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.