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Finding the Fourth Proportional to 24,914.50, 34,382.04 and 14,304.82

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Solution

The fourth proportional to 24,914.50, 34,382.04 and 14,304.82 is: 19,740.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,914.50 : 34,382.04 = 14,304.82 : x
  2. Step 2: Convert to fraction form
    24,914.50/34,382.04 = 14,304.82/x
  3. Step 3: Cross multiply
    24,914.50x = 34,382.04 × 14,304.82
  4. Step 4: Simplify right side
    24,914.50x = 491,828,893.43
  5. Step 5: Solve for x
    x = 491,828,893.43/24,914.50
  6. Step 6: Final answer
    x = 19,740.67

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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.