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Finding the Fourth Proportional to 12,551.64, 18,830.70 and 4,760.52

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Solution

The fourth proportional to 12,551.64, 18,830.70 and 4,760.52 is: 7,142.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,551.64 : 18,830.70 = 4,760.52 : x
  2. Step 2: Convert to fraction form
    12,551.64/18,830.70 = 4,760.52/x
  3. Step 3: Cross multiply
    12,551.64x = 18,830.70 × 4,760.52
  4. Step 4: Simplify right side
    12,551.64x = 89,643,923.96
  5. Step 5: Solve for x
    x = 89,643,923.96/12,551.64
  6. Step 6: Final answer
    x = 7,142.01

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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.