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Finding the Fourth Proportional to 15,049.94, 22,577.10 and 4,662.50

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Solution

The fourth proportional to 15,049.94, 22,577.10 and 4,662.50 is: 6,994.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,049.94 : 22,577.10 = 4,662.50 : x
  2. Step 2: Convert to fraction form
    15,049.94/22,577.10 = 4,662.50/x
  3. Step 3: Cross multiply
    15,049.94x = 22,577.10 × 4,662.50
  4. Step 4: Simplify right side
    15,049.94x = 105,265,728.75
  5. Step 5: Solve for x
    x = 105,265,728.75/15,049.94
  6. Step 6: Final answer
    x = 6,994.43

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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.