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Finding the Fourth Proportional to 15,323.64, 22,985.46 and 4,936.92

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Solution

The fourth proportional to 15,323.64, 22,985.46 and 4,936.92 is: 7,405.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,323.64 : 22,985.46 = 4,936.92 : x
  2. Step 2: Convert to fraction form
    15,323.64/22,985.46 = 4,936.92/x
  3. Step 3: Cross multiply
    15,323.64x = 22,985.46 × 4,936.92
  4. Step 4: Simplify right side
    15,323.64x = 113,477,377.18
  5. Step 5: Solve for x
    x = 113,477,377.18/15,323.64
  6. Step 6: Final answer
    x = 7,405.38

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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.