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Finding the Fourth Proportional to 13,624.50, 20,425.62 and 7,052.58

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Solution

The fourth proportional to 13,624.50, 20,425.62 and 7,052.58 is: 10,573.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624.50 : 20,425.62 = 7,052.58 : x
  2. Step 2: Convert to fraction form
    13,624.50/20,425.62 = 7,052.58/x
  3. Step 3: Cross multiply
    13,624.50x = 20,425.62 × 7,052.58
  4. Step 4: Simplify right side
    13,624.50x = 144,053,319.10
  5. Step 5: Solve for x
    x = 144,053,319.10/13,624.50
  6. Step 6: Final answer
    x = 10,573.11

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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.