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Finding the Fourth Proportional to 24,376.44, 36,570.14 and 7,737.02

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Solution

The fourth proportional to 24,376.44, 36,570.14 and 7,737.02 is: 11,607.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,376.44 : 36,570.14 = 7,737.02 : x
  2. Step 2: Convert to fraction form
    24,376.44/36,570.14 = 7,737.02/x
  3. Step 3: Cross multiply
    24,376.44x = 36,570.14 × 7,737.02
  4. Step 4: Simplify right side
    24,376.44x = 282,943,683.05
  5. Step 5: Solve for x
    x = 282,943,683.05/24,376.44
  6. Step 6: Final answer
    x = 11,607.26

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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.