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Finding the Fourth Proportional to 24,377.22, 36,566.01 and 7,737.30

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Solution

The fourth proportional to 24,377.22, 36,566.01 and 7,737.30 is: 11,606.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,377.22 : 36,566.01 = 7,737.30 : x
  2. Step 2: Convert to fraction form
    24,377.22/36,566.01 = 7,737.30/x
  3. Step 3: Cross multiply
    24,377.22x = 36,566.01 × 7,737.30
  4. Step 4: Simplify right side
    24,377.22x = 282,922,189.17
  5. Step 5: Solve for x
    x = 282,922,189.17/24,377.22
  6. Step 6: Final answer
    x = 11,606.01

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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.