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Finding the Fourth Proportional to 13,624.67, 18,801.59 and 7,574.89

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Solution

The fourth proportional to 13,624.67, 18,801.59 and 7,574.89 is: 10,453.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624.67 : 18,801.59 = 7,574.89 : x
  2. Step 2: Convert to fraction form
    13,624.67/18,801.59 = 7,574.89/x
  3. Step 3: Cross multiply
    13,624.67x = 18,801.59 × 7,574.89
  4. Step 4: Simplify right side
    13,624.67x = 142,420,004.14
  5. Step 5: Solve for x
    x = 142,420,004.14/13,624.67
  6. Step 6: Final answer
    x = 10,453.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.