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Finding the Fourth Proportional to 13,710.64, 20,561.71 and 4,944.42

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Solution

The fourth proportional to 13,710.64, 20,561.71 and 4,944.42 is: 7,415.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.64 : 20,561.71 = 4,944.42 : x
  2. Step 2: Convert to fraction form
    13,710.64/20,561.71 = 4,944.42/x
  3. Step 3: Cross multiply
    13,710.64x = 20,561.71 × 4,944.42
  4. Step 4: Simplify right side
    13,710.64x = 101,665,730.16
  5. Step 5: Solve for x
    x = 101,665,730.16/13,710.64
  6. Step 6: Final answer
    x = 7,415.10

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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.