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Finding the Fourth Proportional to 24,073.40, 33,220.67 and 13,318

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Solution

The fourth proportional to 24,073.40, 33,220.67 and 13,318 is: 18,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,073.40 : 33,220.67 = 13,318 : x
  2. Step 2: Convert to fraction form
    24,073.40/33,220.67 = 13,318/x
  3. Step 3: Cross multiply
    24,073.40x = 33,220.67 × 13,318
  4. Step 4: Simplify right side
    24,073.40x = 442,432,883.06
  5. Step 5: Solve for x
    x = 442,432,883.06/24,073.40
  6. Step 6: Final answer
    x = 18,378.50

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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.