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Finding the Fourth Proportional to 15,361.92, 23,045.76 and 4,972.32

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Solution

The fourth proportional to 15,361.92, 23,045.76 and 4,972.32 is: 7,459.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,361.92 : 23,045.76 = 4,972.32 : x
  2. Step 2: Convert to fraction form
    15,361.92/23,045.76 = 4,972.32/x
  3. Step 3: Cross multiply
    15,361.92x = 23,045.76 × 4,972.32
  4. Step 4: Simplify right side
    15,361.92x = 114,590,893.36
  5. Step 5: Solve for x
    x = 114,590,893.36/15,361.92
  6. Step 6: Final answer
    x = 7,459.41

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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.