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Finding the Fourth Proportional to 12,529.16, 18,794.19 and 4,209.45

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Solution

The fourth proportional to 12,529.16, 18,794.19 and 4,209.45 is: 6,314.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,529.16 : 18,794.19 = 4,209.45 : x
  2. Step 2: Convert to fraction form
    12,529.16/18,794.19 = 4,209.45/x
  3. Step 3: Cross multiply
    12,529.16x = 18,794.19 × 4,209.45
  4. Step 4: Simplify right side
    12,529.16x = 79,113,148.40
  5. Step 5: Solve for x
    x = 79,113,148.40/12,529.16
  6. Step 6: Final answer
    x = 6,314.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.