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Finding the Fourth Proportional to 17,585.21, 24,267.74 and 9,627.50

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Solution

The fourth proportional to 17,585.21, 24,267.74 and 9,627.50 is: 13,286.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,585.21 : 24,267.74 = 9,627.50 : x
  2. Step 2: Convert to fraction form
    17,585.21/24,267.74 = 9,627.50/x
  3. Step 3: Cross multiply
    17,585.21x = 24,267.74 × 9,627.50
  4. Step 4: Simplify right side
    17,585.21x = 233,637,679.38
  5. Step 5: Solve for x
    x = 233,637,679.38/17,585.21
  6. Step 6: Final answer
    x = 13,286.03

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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.