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Finding the Fourth Proportional to 15,788.64, 23,674.25 and 6,426.25

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Solution

The fourth proportional to 15,788.64, 23,674.25 and 6,426.25 is: 9,635.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,788.64 : 23,674.25 = 6,426.25 : x
  2. Step 2: Convert to fraction form
    15,788.64/23,674.25 = 6,426.25/x
  3. Step 3: Cross multiply
    15,788.64x = 23,674.25 × 6,426.25
  4. Step 4: Simplify right side
    15,788.64x = 152,136,616.93
  5. Step 5: Solve for x
    x = 152,136,616.93/15,788.64
  6. Step 6: Final answer
    x = 9,635.83

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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.