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Finding the Fourth Proportional to 17,698.42, 24,409.92 and 10,980.28

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Solution

The fourth proportional to 17,698.42, 24,409.92 and 10,980.28 is: 15,144.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,698.42 : 24,409.92 = 10,980.28 : x
  2. Step 2: Convert to fraction form
    17,698.42/24,409.92 = 10,980.28/x
  3. Step 3: Cross multiply
    17,698.42x = 24,409.92 × 10,980.28
  4. Step 4: Simplify right side
    17,698.42x = 268,027,756.38
  5. Step 5: Solve for x
    x = 268,027,756.38/17,698.42
  6. Step 6: Final answer
    x = 15,144.16

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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.