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Finding the Fourth Proportional to 12,829, 19,244.58 and 3,595

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Solution

The fourth proportional to 12,829, 19,244.58 and 3,595 is: 5,392.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,829 : 19,244.58 = 3,595 : x
  2. Step 2: Convert to fraction form
    12,829/19,244.58 = 3,595/x
  3. Step 3: Cross multiply
    12,829x = 19,244.58 × 3,595
  4. Step 4: Simplify right side
    12,829x = 69,184,265.10
  5. Step 5: Solve for x
    x = 69,184,265.10/12,829
  6. Step 6: Final answer
    x = 5,392.80

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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.