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Finding the Fourth Proportional to 17,698.48, 24,422.34 and 10,983.40

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Solution

The fourth proportional to 17,698.48, 24,422.34 and 10,983.40 is: 15,156.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,698.48 : 24,422.34 = 10,983.40 : x
  2. Step 2: Convert to fraction form
    17,698.48/24,422.34 = 10,983.40/x
  3. Step 3: Cross multiply
    17,698.48x = 24,422.34 × 10,983.40
  4. Step 4: Simplify right side
    17,698.48x = 268,240,329.16
  5. Step 5: Solve for x
    x = 268,240,329.16/17,698.48
  6. Step 6: Final answer
    x = 15,156.12

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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.