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Finding the Fourth Proportional to 24,345, 36,523.98 and 7,705.34

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Solution

The fourth proportional to 24,345, 36,523.98 and 7,705.34 is: 11,560.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,345 : 36,523.98 = 7,705.34 : x
  2. Step 2: Convert to fraction form
    24,345/36,523.98 = 7,705.34/x
  3. Step 3: Cross multiply
    24,345x = 36,523.98 × 7,705.34
  4. Step 4: Simplify right side
    24,345x = 281,429,684.05
  5. Step 5: Solve for x
    x = 281,429,684.05/24,345
  6. Step 6: Final answer
    x = 11,560.06

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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.