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Finding the Fourth Proportional to 17,507.70, 24,160.95 and 9,550.21

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Solution

The fourth proportional to 17,507.70, 24,160.95 and 9,550.21 is: 13,179.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,507.70 : 24,160.95 = 9,550.21 : x
  2. Step 2: Convert to fraction form
    17,507.70/24,160.95 = 9,550.21/x
  3. Step 3: Cross multiply
    17,507.70x = 24,160.95 × 9,550.21
  4. Step 4: Simplify right side
    17,507.70x = 230,742,146.30
  5. Step 5: Solve for x
    x = 230,742,146.30/17,507.70
  6. Step 6: Final answer
    x = 13,179.47

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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.