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Finding the Fourth Proportional to 19,364, 29,050.86 and 5,513

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Solution

The fourth proportional to 19,364, 29,050.86 and 5,513 is: 8,270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,364 : 29,050.86 = 5,513 : x
  2. Step 2: Convert to fraction form
    19,364/29,050.86 = 5,513/x
  3. Step 3: Cross multiply
    19,364x = 29,050.86 × 5,513
  4. Step 4: Simplify right side
    19,364x = 160,157,391.18
  5. Step 5: Solve for x
    x = 160,157,391.18/19,364
  6. Step 6: Final answer
    x = 8,270.88

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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.