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Finding the Fourth Proportional to 14,982, 22,474.16 and 8,742.64

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Solution

The fourth proportional to 14,982, 22,474.16 and 8,742.64 is: 13,114.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,982 : 22,474.16 = 8,742.64 : x
  2. Step 2: Convert to fraction form
    14,982/22,474.16 = 8,742.64/x
  3. Step 3: Cross multiply
    14,982x = 22,474.16 × 8,742.64
  4. Step 4: Simplify right side
    14,982x = 196,483,490.18
  5. Step 5: Solve for x
    x = 196,483,490.18/14,982
  6. Step 6: Final answer
    x = 13,114.64

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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.