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Finding the Fourth Proportional to 24,381.50, 36,576.86 and 7,737.08

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Solution

The fourth proportional to 24,381.50, 36,576.86 and 7,737.08 is: 11,607.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,381.50 : 36,576.86 = 7,737.08 : x
  2. Step 2: Convert to fraction form
    24,381.50/36,576.86 = 7,737.08/x
  3. Step 3: Cross multiply
    24,381.50x = 36,576.86 × 7,737.08
  4. Step 4: Simplify right side
    24,381.50x = 282,997,870.40
  5. Step 5: Solve for x
    x = 282,997,870.40/24,381.50
  6. Step 6: Final answer
    x = 11,607.08

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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.