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Finding the Fourth Proportional to 17,140.20, 23,653.02 and 9,688.20

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Solution

The fourth proportional to 17,140.20, 23,653.02 and 9,688.20 is: 13,369.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,140.20 : 23,653.02 = 9,688.20 : x
  2. Step 2: Convert to fraction form
    17,140.20/23,653.02 = 9,688.20/x
  3. Step 3: Cross multiply
    17,140.20x = 23,653.02 × 9,688.20
  4. Step 4: Simplify right side
    17,140.20x = 229,155,188.36
  5. Step 5: Solve for x
    x = 229,155,188.36/17,140.20
  6. Step 6: Final answer
    x = 13,369.46

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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.