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Finding the Fourth Proportional to 15,149.94, 22,724.96 and 7,353.28

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Solution

The fourth proportional to 15,149.94, 22,724.96 and 7,353.28 is: 11,029.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,149.94 : 22,724.96 = 7,353.28 : x
  2. Step 2: Convert to fraction form
    15,149.94/22,724.96 = 7,353.28/x
  3. Step 3: Cross multiply
    15,149.94x = 22,724.96 × 7,353.28
  4. Step 4: Simplify right side
    15,149.94x = 167,102,985.51
  5. Step 5: Solve for x
    x = 167,102,985.51/15,149.94
  6. Step 6: Final answer
    x = 11,029.95

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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.