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Finding the Fourth Proportional to 24,697.84, 34,082.64 and 13,519.84

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Solution

The fourth proportional to 24,697.84, 34,082.64 and 13,519.84 is: 18,657.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,697.84 : 34,082.64 = 13,519.84 : x
  2. Step 2: Convert to fraction form
    24,697.84/34,082.64 = 13,519.84/x
  3. Step 3: Cross multiply
    24,697.84x = 34,082.64 × 13,519.84
  4. Step 4: Simplify right side
    24,697.84x = 460,791,839.58
  5. Step 5: Solve for x
    x = 460,791,839.58/24,697.84
  6. Step 6: Final answer
    x = 18,657.17

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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.