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Finding the Fourth Proportional to 25,165.70, 34,727.92 and 14,410.22

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Solution

The fourth proportional to 25,165.70, 34,727.92 and 14,410.22 is: 19,885.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,165.70 : 34,727.92 = 14,410.22 : x
  2. Step 2: Convert to fraction form
    25,165.70/34,727.92 = 14,410.22/x
  3. Step 3: Cross multiply
    25,165.70x = 34,727.92 × 14,410.22
  4. Step 4: Simplify right side
    25,165.70x = 500,436,967.34
  5. Step 5: Solve for x
    x = 500,436,967.34/25,165.70
  6. Step 6: Final answer
    x = 19,885.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.