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Finding the Fourth Proportional to 24,713.46, 34,101.30 and 14,102.46

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Solution

The fourth proportional to 24,713.46, 34,101.30 and 14,102.46 is: 19,459.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,713.46 : 34,101.30 = 14,102.46 : x
  2. Step 2: Convert to fraction form
    24,713.46/34,101.30 = 14,102.46/x
  3. Step 3: Cross multiply
    24,713.46x = 34,101.30 × 14,102.46
  4. Step 4: Simplify right side
    24,713.46x = 480,912,219.20
  5. Step 5: Solve for x
    x = 480,912,219.20/24,713.46
  6. Step 6: Final answer
    x = 19,459.53

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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.